Explanation Given information: A limit function is given as, lim x → 0 sin x cos 2 x . Concept used: L'Hospital's Rule: If f and g are differentiable in an open interval containing a and f ( a ) = g ( a ) = 0 . Also, g ' ( x ) ≠ 0 (except possibly at a ). Then- lim x → a f ( x ) g ( x ) = lim x → a f ' ( x ) g ' ( x ) This rule is also applicable when f ( a ) = ± ∞ and g ( a ) = ± ∞

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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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 4.5, Problem 10PS

To determine

To calculate: The value of given limit.

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Chapter 4.5, Problem 9PS

Chapter 4.5, Problem 11PS

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Chapter 4 Solutions

Calculus

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The value of given limit.

Solution Summary: The author explains the L'Hospital's Rule for calculating the value of a given limit.

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To calculate: The value of given limit.

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Chapter 4 Solutions