Pearson eText Calculus and Its Applications, Brief Edition -- Instant Access (Pearson+)
Pearson eText Calculus and Its Applications, Brief Edition -- Instant Access (Pearson+)
12th Edition
ISBN: 9780136880257
Author: Marvin Bittinger, David Ellenbogen
Publisher: PEARSON+
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Chapter B, Problem 1E
To determine

To find: limx5x2252x10 .

Expert Solution & Answer
Check Mark

Answer to Problem 1E

  limx52x020=5

Explanation of Solution

Given information:

  limx5x2252x10

Concept:

According to L’hopital’s rule,

If limxcfxgx , reduces to 00 or

Also, if fx and gx are differentiable,

  limxcfxgx=limxcf'xg'x

Calculation:

Given limx5x2252x10

As the given limit is in the form of 00 . Apply L’hopital’s Rule.

Now differentiate function in numerator and denominator.

  limx5x2252x10=limx52x020

Now put x=5

  limx52x020=252=5

Conclusion:

  limx52x020=5

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