Show that if is positive, then loge 1 1 x > 1 1 x

Chapter 5, Problem 134

(choose chapter or problem)

Show that if x is positive, then

\(\log _{e}\left(1+\frac{1}{x}\right)>\frac{1}{1+x}\).

Text Transcription:

log_e (1 + 1/x) > 1/ 1 + x

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