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Deduce that log (1 + x) < x- for x> 0. If fix) = log (1 + x), x > 0, uning Maclaurin's theorem, show that for 0< 0 < 1, log (1+ x)=x 2. 311+ x)

Deduce that log (1 + x) < x- for x> 0. If fix) = log (1 + x), x > 0, uning Maclaurin's theorem, show that for 0< 0 < 1, log (1+ x)=x 2. 311+ x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Deduce that log (1 + x) <x- for x> 0. If fx) = log (1+ x), * > 0, uning Maclaurin's theorem, show that for 0<0<1, log (1+ x)=x - 311 + tx)"
Transcribed Image Text:Deduce that log (1 + x) <x- for x> 0. If fx) = log (1+ x), * > 0, uning Maclaurin's theorem, show that for 0<0<1, log (1+ x)=x - 311 + tx)"
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