1.5 Infinite Limits. Copyright © Houghton Mifflin Company. All rights reserved. 21-2 Figure 1.25.

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Presentation transcript:

1.5 Infinite Limits

Copyright © Houghton Mifflin Company. All rights reserved Figure 1.25

Copyright © Houghton Mifflin Company. All rights reserved Definition of Continuity

Copyright © Houghton Mifflin Company. All rights reserved Figure 1.26

Copyright © Houghton Mifflin Company. All rights reserved Figure 1.28

Determining Infinite Limits from a Graph

Copyright © Houghton Mifflin Company. All rights reserved Theorem 1.10 The Existence of a Limit

Copyright © Houghton Mifflin Company. All rights reserved Definition of Continuity on a Closed Interval and Figure 1.31

Copyright © Houghton Mifflin Company. All rights reserved Theorem 1.11 Properties of Continuity

Copyright © Houghton Mifflin Company. All rights reserved Theorem 1.12 Continuity of a Composite Function

Copyright © Houghton Mifflin Company. All rights reserved Theorem 1.13 Intermediate Value Theorem

Copyright © Houghton Mifflin Company. All rights reserved Figure 1.35 and Figure 1.36

Copyright © Houghton Mifflin Company. All rights reserved Definition of Infinite Limits and Figure 1.40

Copyright © Houghton Mifflin Company. All rights reserved Definition of Vertical Asymptote

Copyright © Houghton Mifflin Company. All rights reserved Theorem 1.14 Vertical Asymptotes

Finding Vertical Asymptotes Determine all vertical asymptotes of the graph. A) B) C)

Rational Function with Common Factors

Determining Infinite Limits Find each limit.

Copyright © Houghton Mifflin Company. All rights reserved Theorem 1.15 Properties of Infinite Limits

Determining Limits Because

Determining Limits Because

Determining Limits Because