Explanation Given info: lim → x 0 Sin − 1 x x Concept used: The limit of the form of 0 0 and denominator is differentiable, so use L'Hospital rule d d x ( Sin − 1 x ) = 1 1 − x 2 d x d x = 1 Calculation: lim → x 0 Sin − 1 x x This limit is of form of 0 0 , so use L'Hospital rule = lim → x 0 d d x ( Sin − 1 ( x ) ) d d x ( x ) [ d d x

Loose-leaf Version for Calculus: Early Transcendentals Combo 3e & WebAssign for Calculus: Early Transcendentals 3e (Life of Edition)

3rd Edition

ISBN: 9781319019846

Author: Jon Rogawski, Colin Adams

Publisher: W. H. Freeman

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Question

Chapter 4.5, Problem 51E

To determine

Evaluate the limit

${}_{x}{\lim_{\to}}_{0} \frac{{Sin}^{- 1} x}{x}$

Expert Solution & Answer

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Chapter 4.5, Problem 50E

Chapter 4.5, Problem 52E

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on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3 1) f(x)=5x-11, 2- f (x) = ->³ 3-1(x) = x² 12x +π; 4-f(x)=- 5-f(x) = 33-4x6-609)=-3x²+ 7= f(x) = x + 1.8-f(x) = 4 s-f(x) = x++ X+1 -x-1 2 I 3x-4 дево

Chapter 4 Solutions

Loose-leaf Version for Calculus: Early Transcendentals Combo 3e & WebAssign for Calculus: Early Transcendentals 3e (Life of Edition)

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Knowledge Booster

Evaluate the limit lim → x 0 Sin − 1 x x

Evaluate the limit lim→x0 Sin−1xx

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Chapter 4 Solutions

Evaluate the limit

${}_{x}{\lim_{\to}}_{0} \frac{{Sin}^{- 1} x}{x}$