Explanation Given : The function is lim x → 0 ( 1 − cos x tan x ) . Calculation: Apply the limit of the function as follows: lim x → 0 ( 1 − cos x tan 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 ( 1 − cos x tan x ) =

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 3.6, Problem 43S

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

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Chapter 3.6, Problem 42S

Chapter 3.6, Problem 44S

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

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