(a) Explanation Given Information: The function is lim x → 0 sin x x 2 . Formula Used: The limit lim x → a f ( x ) exists at a point ‘ a ’ if its right limit and left limit. Calculation: Consider the function lim x → 0 sin x x 2 . lim x → 0 sin x x 2 = sin ( 0 ) 0 The function is undefined at x = 0 . Now take some points with x approaching 0 from both sides in the table: x − 0.1 − 0.01 − 0 (b) To determine To calculate: The limit lim x → 0 sin x x 2 using L`Hospital rule.

7th Edition

ISBN: 9781337514309

Author: Waner

Publisher: Cengage

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Question

Chapter 9.2, Problem 48E

(a)

To determine

To calculate: The limit limx→0sinxx2 numerically.

(b)

To determine

To calculate: The limit limx→0sinxx2 using L`Hospital rule.

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Chapter 9.2, Problem 47E

Chapter 9.2, Problem 49E

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Chapter 9 Solutions

Applied Calculus

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The limit lim x → 0 sin x x 2 numerically.

Solution Summary: The author calculates the value of undersetxto 0mathrmlim