10.2: Infinite Limits. Infinite Limits When the limit of f(x) does not exist and f(x) goes to positive infinity or negative infinity, then we can call.

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Presentation transcript:

10.2: Infinite Limits

Infinite Limits When the limit of f(x) does not exist and f(x) goes to positive infinity or negative infinity, then we can call that an infinite limit.

Discuss the behavior of as x  ?10, As x goes closer to 1 from the left, f(x) is smaller and smaller As x goes closer to 1 from the right, f(x) is bigger and bigger

Describe the behavior of at 1 and ? ? because

Discuss the behavior of as x  ? As x goes closer to 2 from the left, f(x) is bigger and bigger As x goes closer to 2 from the right, f(x) is bigger and bigger

Theorem 1

Theorem 2

Theorem 3

Theorem 4 See examples next page

Horizontal asymptote is y = 0 Horizontal asymptote is y = -3/4

There is no horizontal asymptote Horizontal asymptote is y = -1

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