Evaluating Limits Analytically Part 2 (Section 1.3)

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Presentation transcript:

Evaluating Limits Analytically Part 2 (Section 1.3)

Find the limit. Example 1

Find the limit. Example 1 Graphs pg 62

Theorem 1.7 Functions That Agree at All But One Point Chart pg 62 Copyright © Houghton Mifflin Company. All rights reserved.

Find the limit. Example 1

Find the limit of the function(if it exists) Find the limit of the function(if it exists). Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. Example 2

Find the limit of the function(if it exists) Find the limit of the function(if it exists). Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. Example 3

Find the limit (if it exists). Example 4

Find the limit (if it exists). Example 5

Find the limit (if it exists). Example 6

Theorem 1.9 Two Special Trigonometric Limits Chart pg 65 Copyright © Houghton Mifflin Company. All rights reserved.

Determine the limit of the trigonometric function (if it exists). Example 7

Determine the limit of the trigonometric function (if it exists). Example 8

Determine the limit of the trigonometric function (if it exists). Example 9

Determine the limit of the trigonometric function (if it exists). Example 10

Determine the limit of the trigonometric function (if it exists). Example 11

Find Example 12 f(x) = 3x + 1

HW #12 pg 67-68 (41-85 odd)