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10.2: Infinite Limits

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  1.

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10.2: Infinite Limits

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  1. 10.2: Infinite Limits

  2. 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.

  3. Discuss the behavior of as x 1 • 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

  4. Describe the behavior of at 1 and -1 because

  5. Discuss the behavior of as x 2 • 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

  6. Theorem 1

  7. Theorem 2

  8. Theorem 3

  9. Theorem 4 See examples next page

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

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

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