(a) Explanation Given Information: The function is lim x → 0 sin x tan x . Formula Used: The limit lim x → a f ( x ) exists at a point ‘ a ’ if its right limit and left limit exist and they tend towards the same point. Calculation: Consider the function lim x → 0 sin x tan x . lim x → 0 sin x tan x = sin ( 0 ) tan ( 0 ) = 0 0 The function is undefined at x = 0 . Now take some points with x approaching 0 from both sides in the table: x − 0 (b) To determine To calculate: The limit lim x → 0 sin x tan x using L`Hospital rule.

7th Edition

ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 9.2, Problem 50E

(a)

To determine

To calculate: The limit limx→0sinxtanx numerically.

(b)

To determine

To calculate: The limit limx→0sinxtanx using L`Hospital rule.

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Chapter 9.2, Problem 49E

Chapter 9.2, Problem 51E

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Chapter 9 Solutions

Applied Calculus

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The limit lim x → 0 sin x tan x numerically.

Solution Summary: The function undersetxto amathrmlimf(x-) exists if its right limit and left limit exist and they tend towards the same point.