warm up warm up 5/16 1. do in notebook evaluate the limit numerically(table) and graphically
TRANSCRIPT
Warm up
Warm up 5/16
1.
Do in notebook
Evaluate the limit numerically(table) and graphically.
0
1lim sinxx
x
https://www.desmos.com/calculator
Be seated before the bell rings
DESK
homeworkWarm-up (in your notes)
Agenda : warm-upGo over homeworkhomework quizFinish 1.3 Notes lesson 1.4
1.3 Continue
The Squeeze Theorem
Example : not squeeze
0
1lim sinxx
x
The Squeeze Theorem
Example – A Limit Involving a Trigonometric Function
0/0.Direct substitution
indeterminate
Rewrite:
Find the limit:
1
0
sin 4limx
x
x
Example – A Limit Involving a Trigonometric Function
4
4
0
sin 44lim
4x
x
x
1
4
Example – A Limit Involving a Trigonometric Function
0
0
You try :
0
sin 5limx
x
x
AP type question
More examples
Properties of Limits
Familiarize yourself with these properties – but they all results to just direct substitution
Example 2 – The Limit of a Polynomial
Solution:
The squeeze theorem applies as long as we restrict the interval.
The limit is 6