Explanation Given : The function is lim x → 0 ( cos x − 1 sin x ) . Calculation: Apply the limit of the function as follows: lim x → 0 ( cos x − 1 sin x ) = 1 − 1 0 = 0 0 The function is of indeterminate form. Apply L’Hopital’s rule in the limit of the function as follows: lim x → 0 ( cos x − 1 sin x )

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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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 41S

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To find: The limit of function limx→0(cosx−1sinx) .

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Chapter 3.6, Problem 40S

Chapter 3.6, Problem 42S

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The limit of function lim x → 0 ( cos x − 1 sin x ) .

Solution Summary: The author calculates the limit of the function undersetxto 0mathrmlimleft, which is of indeterminate form.

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To find: The limit of function limx→0(cosx−1sinx) .

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