Explanation Given : The function is lim x → ∞ ( e x − 7 8 x 2 + 12 x + 5 ) . Calculation: Apply the limit of the function as follows: lim x → ∞ ( e x − 7 8 x 2 + 12 x + 5 ) = ∞ ∞ Thus, the limit of the function will give ∞ ∞ form. Apply L’Hopital’s Rule as follows: lim x → ∞ ( e x − 7 8 x 2 + 12 x + 5 ) = lim x → ∞ ( d d x ( e x − 7 )

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 24S

To determine

To find: The limit of function limx→∞(ex−78x2+12x+5) .

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Chapter 3.6, Problem 23S

Chapter 3.6, Problem 25S

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Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the locations of all relative extrema, and tell whether each extremum is a relative maximum or minimum. Af'(x) Select the correct choice below and fill in the answer box(es) within your choice. (Simplify your answer. Use a comma to separate answers as needed.) -10 86-4-2 -9- B 10 X G A. The function f(x) has a relative maximum at x= relative minimum at x = and a B. The function f(x) has a relative maximum at x= no relative minimum. and has C. There is not enough information given. D. The function f(x) has a relative minimum at x= no relative maximum. and has E. The function f(x) has no relative extrema.

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Chapter 3 Solutions

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The limit of function lim x → ∞ ( e x − 7 8 x 2 + 12 x + 5 ) .

Solution Summary: The author calculates the limit of the function undersetxto 'infty'.

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To find: The limit of function limx→∞(ex−78x2+12x+5) .

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Chapter 3 Solutions