name: find the limit. date - statext: easy statistics · name: find the limit. date: 17.lim x!1 x 1...

29
Name: Find the limit. Date: 1. lim x4 x 2 + x - 20 x 2 - 6x +8 2. lim x→-1 x 2 - x - 2 x +1 3. lim x2 x 2 - x - 2 x - 2 4. lim x3 x 2 - 7x + 12 x 2 - 2x - 3 5. lim x3 x 2 +2x - 15 x - 3 6. lim x→-2 x 2 +3x +2 x 2 +6x +8 7. lim x2 x 2 - 5x +6 x - 2 8. lim x→-1 x 2 - x - 2 x 2 +4x +3 www.statext.com 1

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Name: Find the limit. Date:

1. limx→4

x2 + x− 20

x2 − 6x+ 8

2. limx→−1

x2 − x− 2

x+ 1

3. limx→2

x2 − x− 2

x− 2

4. limx→3

x2 − 7x+ 12

x2 − 2x− 3

5. limx→3

x2 + 2x− 15

x− 3

6. limx→−2

x2 + 3x+ 2

x2 + 6x+ 8

7. limx→2

x2 − 5x+ 6

x− 2

8. limx→−1

x2 − x− 2

x2 + 4x+ 3

www.statext.com 1

Name: Find the limit. Date:

9. limx→−1

x2 + 6x+ 5

x+ 1

10. limx→−1

x2 − x− 2

x+ 1

11. limx→1

x2 − 1

x2 + x− 2

12. limx→−5

x2 + 3x− 10

x2 + 4x− 5

13. limx→−4

x+ 4

x2 + 2x− 8

14. limx→2

x− 2

x2 + 3x− 10

15. limx→−3

x+ 3

x2 + 4x+ 3

16. limx→−1

x2 + 6x+ 5

x+ 1

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Name: Find the limit. Date:

17. limx→1

x− 1

x2 − 4x+ 3

18. limx→−3

x+ 3

x2 + 8x+ 15

19. limx→2

x2 − 3x+ 2

x2 + x− 6

20. limx→4

x− 4

x2 − 16

21. limx→−4

x2 + x− 12

x2 − 16

22. limx→2

x2 + 2x− 8

x2 − 5x+ 6

23. limx→−3

x2 + x− 6

x2 + 4x+ 3

24. limx→3

x2 + x− 12

x2 − 4x+ 3

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Name: Find the limit. Date:

25. limx→3

x2 + 2x− 15

x2 − 2x− 3

26. limx→−4

x2 + 6x+ 8

x2 + 7x+ 12

27. limx→−2

x2 − 2x− 8

x2 + 3x+ 2

28. limx→−4

x2 + 5x+ 4

x2 + 6x+ 8

29. limx→2

x2 − 6x+ 8

x− 2

30. limx→−3

x+ 3

x2 + 2x− 3

31. limx→−4

x+ 4

x2 + x− 12

32. limx→2

x2 + x− 6

x− 2

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Name: Find the limit. Date:

33. limx→−2

x2 − 2x− 8

x+ 2

34. limx→−1

x+ 1

x2 + 5x+ 4

35. limx→−1

x2 + 6x+ 5

x2 + 3x+ 2

36. limx→4

x− 4

x2 − 5x+ 4

37. limx→−4

x2 + 9x+ 20

x+ 4

38. limx→−2

x+ 2

x2 − x− 6

39. limx→3

x2 + x− 12

x2 − 2x− 3

40. limx→−1

x2 − x− 2

x2 + 6x+ 5

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Name: Find the limit. Date:

41. limx→1

x− 1

x2 + 3x− 4

42. limx→−4

x2 + 5x+ 4

x+ 4

43. limx→−1

x+ 1

x2 + 4x+ 3

44. limx→3

x2 − 9

x− 3

45. limx→−2

x+ 2

x2 + 3x+ 2

46. limx→3

x2 − 2x− 3

x2 + 2x− 15

47. limx→−3

x+ 3

x2 − x− 12

48. limx→1

x2 − 1

x2 + 3x− 4

www.statext.com 6

Name: Find the limit. Date:

49. limx→4

x− 4

x2 − 16

50. limx→2

x− 2

x2 − 4

51. limx→−1

x2 − 3x− 4

x+ 1

52. limx→−5

x2 + 3x− 10

x+ 5

53. limx→1

x2 − 1

x2 + x− 2

54. limx→3

x2 + 2x− 15

x− 3

55. limx→−2

x2 + 3x+ 2

x2 + 6x+ 8

56. limx→2

x2 − 5x+ 6

x− 2

www.statext.com 7

Name: Find the limit. Date:

57. limx→−1

x2 − x− 2

x2 + 4x+ 3

58. limx→−1

x2 + 6x+ 5

x+ 1

59. limx→−1

x2 − x− 2

x+ 1

60. limx→1

x2 − 1

x2 + x− 2

61. limx→−5

x2 + 3x− 10

x2 + 4x− 5

62. limx→−4

x+ 4

x2 + 2x− 8

63. limx→2

x− 2

x2 + 3x− 10

64. limx→−3

x+ 3

x2 + 4x+ 3

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Name: Find the limit. Date:

65. limx→−1

x2 + 6x+ 5

x+ 1

66. limx→1

x− 1

x2 − 4x+ 3

67. limx→−3

x+ 3

x2 + 8x+ 15

68. limx→2

x2 − 3x+ 2

x2 + x− 6

69. limx→4

x− 4

x2 − 16

70. limx→−4

x2 + x− 12

x2 − 16

71. limx→2

x2 + 2x− 8

x2 − 5x+ 6

72. limx→−3

x2 + x− 6

x2 + 4x+ 3

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Name: Find the limit. Date:

73. limx→3

x2 + x− 12

x2 − 4x+ 3

74. limx→3

x2 + 2x− 15

x2 − 2x− 3

75. limx→−4

x2 + 6x+ 8

x2 + 7x+ 12

76. limx→−2

x2 − 2x− 8

x2 + 3x+ 2

77. limx→−4

x2 + 5x+ 4

x2 + 6x+ 8

78. limx→2

x2 − 6x+ 8

x− 2

79. limx→−3

x+ 3

x2 + 2x− 3

80. limx→−4

x+ 4

x2 + x− 12

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Name: Find the limit. Date:

81. limx→2

x2 + x− 6

x− 2

82. limx→−2

x2 − 2x− 8

x+ 2

83. limx→−1

x+ 1

x2 + 5x+ 4

84. limx→−1

x2 + 6x+ 5

x2 + 3x+ 2

85. limx→4

x− 4

x2 − 5x+ 4

86. limx→−4

x2 + 9x+ 20

x+ 4

87. limx→−2

x+ 2

x2 − x− 6

88. limx→3

x2 + x− 12

x2 − 2x− 3

www.statext.com 11

Name: Find the limit. Date:

89. limx→−1

x2 − x− 2

x2 + 6x+ 5

90. limx→1

x− 1

x2 + 3x− 4

91. limx→−4

x2 + 5x+ 4

x+ 4

92. limx→−1

x+ 1

x2 + 4x+ 3

93. limx→3

x2 − 9

x− 3

94. limx→−2

x+ 2

x2 + 3x+ 2

95. limx→3

x2 − 2x− 3

x2 + 2x− 15

96. limx→−3

x+ 3

x2 − x− 12

www.statext.com 12

Name: Find the limit. Date:

97. limx→1

x2 − 1

x2 + 3x− 4

98. limx→4

x− 4

x2 − 16

99. limx→2

x− 2

x2 − 4

100. limx→−1

x2 − 3x− 4

x+ 1

101. limx→−5

x2 + 3x− 10

x+ 5

102. limx→1

x2 − 1

x2 + x− 2

103. limx→3

x2 + 2x− 15

x− 3

104. limx→−2

x2 + 3x+ 2

x2 + 6x+ 8

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Name: Find the limit. Date:

105. limx→2

x2 − 5x+ 6

x− 2

106. limx→−1

x2 − x− 2

x2 + 4x+ 3

107. limx→−1

x2 + 6x+ 5

x+ 1

108. limx→−1

x2 − x− 2

x+ 1

109. limx→1

x2 − 1

x2 + x− 2

110. limx→−5

x2 + 3x− 10

x2 + 4x− 5

111. limx→−4

x+ 4

x2 + 2x− 8

112. limx→2

x− 2

x2 + 3x− 10

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Name: Find the limit. Date:

113. limx→−3

x+ 3

x2 + 4x+ 3

114. limx→−1

x2 + 6x+ 5

x+ 1

115. limx→1

x− 1

x2 − 4x+ 3

116. limx→−3

x+ 3

x2 + 8x+ 15

117. limx→2

x2 − 3x+ 2

x2 + x− 6

118. limx→4

x− 4

x2 − 16

119. limx→−4

x2 + x− 12

x2 − 16

120. limx→2

x2 + 2x− 8

x2 − 5x+ 6

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Name: Find the limit. Date:

121. limx→−1

x+ 1

x2 − x− 2

122. limx→−2

x2 + 5x+ 6

x+ 2

123. limx→4

x2 − 5x+ 4

x2 − 16

124. limx→−4

x2 − 16

x2 + x− 12

125. limx→−2

x2 + 3x+ 2

x2 + 5x+ 6

126. limx→−3

x2 + 7x+ 12

x2 + 8x+ 15

127. limx→3

x2 − 2x− 3

x− 3

128. limx→−2

x2 + 5x+ 6

x2 + 6x+ 8

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Name: Find the limit. Date:

129. limx→−5

x2 + 6x+ 5

x2 + 2x− 15

130. limx→2

x2 + 2x− 8

x− 2

131. limx→−1

x2 − x− 2

x2 + 5x+ 4

132. limx→2

x− 2

x2 − 3x+ 2

133. limx→−2

x2 − 2x− 8

x+ 2

134. limx→−2

x+ 2

x2 + 3x+ 2

135. limx→−4

x2 + x− 12

x+ 4

136. limx→2

x− 2

x2 − 3x+ 2

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Name: Find the limit. Date:

137. limx→−4

x+ 4

x2 + x− 12

138. limx→−5

x2 + 8x+ 15

x+ 5

139. limx→1

x− 1

x2 − 4x+ 3

140. limx→−5

x2 + 4x− 5

x+ 5

141. limx→4

x2 − 16

x2 − 6x+ 8

142. limx→1

x2 + 2x− 3

x2 + 3x− 4

143. limx→−5

x2 + 2x− 15

x2 + 9x+ 20

144. limx→−5

x2 + 7x+ 10

x+ 5

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Name: Find the limit. Date:

145. limx→2

x− 2

x2 + 3x− 10

146. limx→1

x2 − 5x+ 4

x− 1

147. limx→−3

x+ 3

x2 + 2x− 3

148. limx→2

x2 + 2x− 8

x2 − 5x+ 6

149. limx→1

x2 − 4x+ 3

x− 1

150. limx→−4

x2 + 6x+ 8

x+ 4

151. limx→−2

x+ 2

x2 − x− 6

152. limx→−1

x2 + 3x+ 2

x2 − 2x− 3

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Name: Find the limit. Date:

153. limx→−1

x2 − 1

x+ 1

154. limx→−1

x2 + 3x+ 2

x+ 1

155. limx→−1

x+ 1

x2 − 3x− 4

156. limx→−2

x2 + 7x+ 10

x+ 2

157. limx→3

x2 − x− 6

x2 + x− 12

158. limx→3

x2 − 4x+ 3

x− 3

159. limx→3

x2 − 9

x− 3

160. limx→−1

x2 − 2x− 3

x+ 1

www.statext.com 20

Name: Find the limit. Date:

161. limx→4

x− 4

x2 − x− 12

162. limx→−5

x2 + 4x− 5

x+ 5

163. limx→−5

x2 + 8x+ 15

x+ 5

164. limx→−3

x2 − x− 12

x+ 3

165. limx→3

x2 − x− 6

x2 − 7x+ 12

166. limx→−2

x2 + 6x+ 8

x+ 2

167. limx→−1

x+ 1

x2 − x− 2

168. limx→−2

x2 + 5x+ 6

x+ 2

www.statext.com 21

Name: Find the limit. Date:

169. limx→4

x2 − 5x+ 4

x2 − 16

170. limx→−4

x2 − 16

x2 + x− 12

171. limx→−2

x2 + 3x+ 2

x2 + 5x+ 6

172. limx→−3

x2 + 7x+ 12

x2 + 8x+ 15

173. limx→3

x2 − 2x− 3

x− 3

174. limx→−2

x2 + 5x+ 6

x2 + 6x+ 8

175. limx→−5

x2 + 6x+ 5

x2 + 2x− 15

176. limx→2

x2 + 2x− 8

x− 2

www.statext.com 22

Name: Find the limit. Date:

177. limx→−1

x2 − x− 2

x2 + 5x+ 4

178. limx→2

x− 2

x2 − 3x+ 2

179. limx→−2

x2 − 2x− 8

x+ 2

180. limx→−2

x+ 2

x2 + 3x+ 2

181. limx→−4

x2 + x− 12

x+ 4

182. limx→2

x− 2

x2 − 3x+ 2

183. limx→−4

x+ 4

x2 + x− 12

184. limx→−5

x2 + 8x+ 15

x+ 5

www.statext.com 23

Name: Find the limit. Date:

185. limx→1

x− 1

x2 − 4x+ 3

186. limx→−5

x2 + 4x− 5

x+ 5

187. limx→4

x2 − 16

x2 − 6x+ 8

188. limx→1

x2 + 2x− 3

x2 + 3x− 4

189. limx→−5

x2 + 2x− 15

x2 + 9x+ 20

190. limx→−5

x2 + 7x+ 10

x+ 5

191. limx→2

x− 2

x2 + 3x− 10

192. limx→1

x2 − 5x+ 4

x− 1

www.statext.com 24

Name: Find the limit. Date:

193. limx→−3

x+ 3

x2 + 2x− 3

194. limx→2

x2 + 2x− 8

x2 − 5x+ 6

195. limx→1

x2 − 4x+ 3

x− 1

196. limx→−4

x2 + 6x+ 8

x+ 4

197. limx→−2

x+ 2

x2 − x− 6

198. limx→−1

x2 + 3x+ 2

x2 − 2x− 3

199. limx→−1

x2 − 1

x+ 1

200. limx→−1

x2 + 3x+ 2

x+ 1

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Name: Find the limit. Date:

1. 92or 41

2

2. −3

3. 3

4. −14

5. 8

6. −12

7. −1

8. −32or 11

2

9. 4

10. −3

11. 23

12. 76or 11

6

13. −16

14. 17

15. −12

16. 4

17. −12

18. 12

19. 15

20. 18

21. 78

22. −6

23. 52or 21

2

24. 72or 31

2

25. 2

26. 2

27. 6

28. 32or 11

2

29. −2

30. −14

31. −17

32. 5

33. −6

34. 13

35. 4

36. 13

37. 1

38. −15

39. 74or 13

4

40. −34

41. 15

42. −3

43. 12

44. 6

45. −1

46. 12

47. −17

48. 25

49. 18

50. 14

51. −5

52. −7

53. 23

54. 8

55. −12

56. −1

57. −32or 11

2

58. 4www.statext.com 26

Name: Find the limit. Date:

59. −3

60. 23

61. 76or 11

6

62. −16

63. 17

64. −12

65. 4

66. −12

67. 12

68. 15

69. 18

70. 78

71. −6

72. 52or 21

2

73. 72or 31

2

74. 2

75. 2

76. 6

77. 32or 11

2

78. −2

79. −14

80. −17

81. 5

82. −6

83. 13

84. 4

85. 13

86. 1

87. −15

88. 74or 13

4

89. −34

90. 15

91. −3

92. 12

93. 6

94. −1

95. 12

96. −17

97. 25

98. 18

99. 14

100. −5

101. −7

102. 23

103. 8

104. −12

105. −1

106. −32or 11

2

107. 4

108. −3

109. 23

110. 76or 11

6

111. −16

112. 17

113. −12

114. 4

115. −12

116. 12

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Name: Find the limit. Date:

117. 15

118. 18

119. 78

120. −6

121. −13

122. 1

123. 38

124. 87or 11

7

125. −1

126. 12

127. 4

128. 12

129. 12

130. 6

131. −1

132. 1

133. −6

134. −1

135. −7

136. 1

137. −17

138. −2

139. −12

140. −6

141. 4

142. 45

143. 8

144. −3

145. 17

146. −3

147. −14

148. −6

149. −2

150. −2

151. −15

152. −14

153. −2

154. 1

155. −15

156. 3

157. 57

158. 2

159. 6

160. −4

161. 17

162. −6

163. −2

164. −7

165. −5

166. 2

167. −13

168. 1

169. 38

170. 87or 11

7

171. −1

172. 12

173. 4

174. 12

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Name: Find the limit. Date:

175. 12

176. 6

177. −1

178. 1

179. −6

180. −1

181. −7

182. 1

183. −17

184. −2

185. −12

186. −6

187. 4

188. 45

189. 8

190. −3

191. 17

192. −3

193. −14

194. −6

195. −2

196. −2

197. −15

198. −14

199. −2

200. 1

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