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Prove that (x)/((1 - x)) lt log (1 + x) ...

Prove that `(x)/((1 - x)) lt log (1 + x) lt x " for " x gt 0`

A

`x gt 0`

B

`x lt 0`

C

`x=0`

D

none

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • For all x in (0, 1) (A) e^(x) lt 1+x (B) log_e (1+x) lt x (C) sin x gt x (D) log_(epsi) x gt x

    A
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    C
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