Explanation Given Information: The trigonometric function is, f ( x ) = 1 − cos 2 x x . Formula used: Limit of a function exit at a point if the left-hand limit, right hand limit and the function itself has approximately same value. Calculation: To estimate the value of lim x → 0 f ( x ) , substitute the different values of x from the given table in the function f ( x ) = 1 − cos 2 x x to get the complete table: x − 0.1 − 0.01 − 0.001 0.001 0.01 0.1 f ( x ) − 0.1993 − 0.0200 − 0.002 0.002 0.0200 0.1993 Now, Calculate the value of lim x → 0 f ( x ) : From the table, it can be clearly seen that the value of lim x → 0 1 − cos 2 x x = 0 . Therefore, the value of lim x → 0 1 − cos 2 x x = 0

Calculus: An Applied Approach (MindTap Course List)

10th Edition

ISBN: 9781305860919

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.3, Problem 56E

To determine

To calculate: The estimated value of limx→0f(x) for the function f(x)=1−cos2xx by completing the following table:

x−0.1−0.01−0.0010.0010.010.1f(x)

Also confirm the result by use of graphical utility.

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Chapter 8.3, Problem 55E

Chapter 8.3, Problem 57E

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Calculus: An Applied Approach (MindTap Course List)

Ch. 8.1 - For each angle, find a coterminal angle such that...Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 1SWU Ch. 8.1 - Prob. 2SWU Ch. 8.1 - Prob. 3SWU Ch. 8.1 - Prob. 4SWU Ch. 8.1 - Prob. 5SWU Ch. 8.1 - Prob. 6SWU

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The estimated value of lim x → 0 f ( x ) for the function f ( x ) = 1 − cos 2 x x by completing the following table: x − 0.1 − 0.01 − 0.001 0.001 0.01 0.1 f ( x ) Also confirm the result by use of graphical utility.

Solution Summary: The author calculates the value of undersetx to 0mathrmlimf(x) for the trigonometric function by completing the following table.

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To calculate: The estimated value of limx→0f(x) for the function f(x)=1−cos2xx by completing the following table:

x−0.1−0.01−0.0010.0010.010.1f(x)

Also confirm the result by use of graphical utility.

Want to see the full answer?

Chapter 8 Solutions

The estimated value of lim x → 0 f ( x ) for the function f ( x ) = 1 − cos 2 x x by completing the following table: x − 0.1 − 0.01 − 0.001 0.001 0.01 0.1 f ( x ) Also confirm the result by use of graphical utility.

Solution Summary: The author calculates the value of undersetx to 0mathrmlimf(x) for the trigonometric function by completing the following table.

Videos

To calculate: The estimated value of limx→0f(x) for the function f(x)=1−cos2xx by completing the following table: x−0.1−0.01−0.0010.0010.010.1f(x) Also confirm the result by use of graphical utility.

Want to see the full answer?

Chapter 8 Solutions

To calculate: The estimated value of limx→0f(x) for the function f(x)=1−cos2xx by completing the following table:

x−0.1−0.01−0.0010.0010.010.1f(x)

Also confirm the result by use of graphical utility.