Find by numerical experimentation the positive integers k such that lim x0 sin(sin x) xk exists.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Oct 28, 2023 04:58 AM

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Find by numerical experimentation the positive integers k such that lim x0 sin(sin x) xk exists.

Question:

lim x→0 sin(sin² x) xk exists.

Step by Step Answer:

For k 1 we have lim fx lim x0 x0 For k 2 we have lim fx lim x0 X0 X Indeed as x 0 fx fx For k 3 ...View the full answer

Calculus

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