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Page 1: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

Evaluating Limits Graphically

© CEMC and University of Waterloo Page 1 of 18

Page 2: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

© CEMC and University of Waterloo Page 2 of 18

Page 3: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

© CEMC and University of Waterloo Page 3 of 18

Page 4: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 5: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 6: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 7: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 8: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 9: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

© CEMC and University of Waterloo Page 9 of 18

Page 10: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 11: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

© CEMC and University of Waterloo Page 11 of 18

Page 12: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 13: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 14: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 15: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 16: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 17: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

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Page 18: Evaluating Limits Graphically - CEMC's Open Courseware...Criteria for a Limit to Exist More precisely, for lim f(x) to exist, the following three conditions must be met: lim f(x) must

© CEMC and University of Waterloo Page 18 of 18