Explanation Result used: L’Hospital’s Rule: If u ( x ) and v ( x ) are differentiable such that v ′ ( x ) is not zero, and if lim x → a u ( x ) = 0 and lim x → a v ( x ) = 0 or lim x → a u ( x ) = ± ∞ and lim x → a v ( x ) = ± ∞ , then lim x → a u ( x ) v ( x ) = lim x → a u ′ ( x ) v ′ ( x ) . Calculation: Obtain the value of lim x → π 2 ( 1 − sin x ) tan x as follows. lim x → π 2 ( 1 − sin x ) tan x = lim x → π 2 1 − sin x cos x sin x = lim x → π 2 1 − sin x cot x

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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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 27.7, Problem 20E

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The value of limx→π2(1−sinx)tanx.

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Chapter 27.7, Problem 19E

Chapter 27.7, Problem 21E

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Chapter 27 Solutions

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The value of lim x → π 2 ( 1 − sin x ) tan x .

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Chapter 27 Solutions