Warm up Warm up 5/16 1. Do in notebook Evaluate the limit numerically(table) and graphically. .

Warm up

Warm up 5/16

1.

Do in notebook

Evaluate the limit numerically(table) and graphically.

0

1lim sinxx

x

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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