Explanation Given : The function is f ( x ) = x 1 / x . Calculation: Apply limit x tends to infinity of the function as follows: lim x → ∞ f ( x ) = lim x → ∞ x 1 / x Apply log on the function as follows: lim x → ∞ ln f ( x ) = lim x → ∞ ln x 1 / x = lim x → ∞ ( 1 x ) ln x = lim x → ∞ ln x x Thus, this will give ∞ ∞ condition

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 3.6, Problem 55S

To determine

To find: the limit of function f(x)=x1/x .

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Chapter 3.6, Problem 54S

Chapter 3.6, Problem 56S

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Chapter 3 Solutions

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the limit of function f ( x ) = x 1 / x .

Solution Summary: The author calculates the limit of function f(x) = 1 and applies L’Hopital’s Rule.

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To find: the limit of function f(x)=x1/x .

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