Explanation Given information: The function is f ( x ) = 1 x + 1 + 1 x − 1 . Calculation: Consider the function. f ( x ) = 1 x + 1 + 1 x − 1 The vertical asymptote is, lim x → 1 + f ( x ) = ∞ lim x → 1 − f ( x ) = − ∞ lim x → 1 + f ( x ) = ∞ lim x → 1 − f ( x ) = − ∞ Hence, the vertical asymptotes is x = − 1 , 1 . The horizontal asymptote is, lim x → ∞ f ( x ) = 0 Hence, the horizontal asymptotes is y = 0 . Differentiate the function

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 4.4, Problem 40PS

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To explain: The point where the graph of given function is rising, falling, the concavity, the point of inflection and vertical and horizontal asymptotes.

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Chapter 4.4, Problem 39PS

Chapter 4.4, Problem 41PS

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Chapter 4 Solutions

Student's Solution and Survival Manual for Calculus

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The point where the graph of given function is rising, falling, the concavity, the point of inflection and vertical and horizontal asymptotes.

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Chapter 4 Solutions