Explanation Given : The function is lim x → ∞ ( x 2 e − x ) . Calculation: Apply the limit in the function as follows: lim x → ∞ ( x 2 e − x ) = lim x → ∞ ( x 2 e x ) = ∞ ∞ Apply L’Hopital’s rule in the limit of the function as follows: lim x → ∞ ( x 2 e x ) = lim x → ∞ ( d d x ( x 2 )

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 28S

To determine

To find: The limit of function limx→∞(x2e−x) .

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Chapter 3.6, Problem 27S

Chapter 3.6, Problem 29S

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j) f) lim x+x ex g) lim Inx h) lim x-5 i) lim arctan x x700 lim arctanx 811x

4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2 cos(5x) dx e) √ 35x6 3+5x7 dx 3 g) reve √ dt h) fx (x-5) 10 dx dt 1+12

I just need help with evaluating these limits.

Chapter 3 Solutions

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The limit of function lim x → ∞ ( x 2 e − x ) .

Solution Summary: The author explains L'Hopital's rule in the limit of the function as follows: undersetxto

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Chapter 3 Solutions