Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones

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247.

Horizontal Asymptotes

       248–251 Find any horizontal asymptotes of the given function.

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Classifying Discontinuities

       252–255 Use the graph to find all discontinuities and classify each one as a jump discontinuity, a removable discontinuity, or an infinite discontinuity.

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Continuity and Discontinuities

       256–261 Determine whether the function is continuous at the given value of a. If it’s continuous, state the value at f(a). If it isn’t continuous, classify the discontinuity as a jump, removable, or infinite discontinuity.

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      where

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      where

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where

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      where

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      where

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      where

       262–265 Determine whether the function is continuous at the given values of a. If it isn’t continuous, classify each discontinuity as a jump, removable, or infinite discontinuity.

      262.

      where and

      263.

      where and

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      where and

      265.

      where and

Making a Function Continuous

       266–267 Determine the value of c that makes the given function continuous everywhere.

266.

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The Intermediate Value Theorem

       268–271 Determine which of the given intervals is guaranteed to contain a root of the function by the intermediate value theorem.

      268. By