(a) Explanation Given Information: The function is lim x → 0 cos x − 1 x 2 . 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 cos x − 1 x 2 On further solving, lim x → 0 cos x − 1 x 2 = cos ( 0 ) − 1 0 = 1 − 1 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 − 0.1 − 0 (b) To determine To calculate: The limit lim x → 0 cos x − 1 x 2 using L`Hospital rule.

7th Edition

ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Question

Chapter 9.2, Problem 52E

(a)

To determine

To calculate: The value of limit limx→0cosx−1x2 numerically.

(b)

To determine

To calculate: The limit limx→0cosx−1x2 using L`Hospital rule.

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Chapter 9.2, Problem 51E

Chapter 9.2, Problem 53E

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Applied Calculus

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The value of limit lim x → 0 cos x − 1 x 2 numerically.

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