Prove that converges for all exponents a Show that (x) (ln x) a x is decreasing for x sufficiently large 00 (1)n 1 (Inn)a n n 1...

Now This is an alternating series with an Inn n fx ...

Prove that converges for all exponents a. Show that (x) = (ln x) a /x is decreasing

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Prove that

00 (1)n+1 (Inn)a n n=1

converges for all exponents a. Show that ƒ(x) = (ln x)^a/x is decreasing for x sufficiently large.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 06:28 AM

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Prove that converges for all exponents a. Show that (x) = (ln x) a /x is decreasing

Question:

00 Σ(−1)n+1 (Inn)a n n=1

Step by Step Answer:

Now This is an alternating series with an Inn n fx ...View the full answer

Calculus

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