(b) Let 0: > O. Prove that log x :::; x for x large. Prove that there...

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(b) Let 0: > O. Prove that log x :::; x" for x large. Prove that there exists a constant C" such that log x :::; C"x" for all x E [1,00), C" -+ 00 as 0: -+ 0+, and C" -+ 0 as 0: -+ 00.

(c) Obtain an analogue of

(b) valid for eX and x" in place of log x and x".

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 07:09 AM

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(b) Let 0: > O. Prove that log x :::; x for x large. Prove that there...

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An Introduction To Analysis

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