If lt_(x rarr0)(log(3+x)-log(3-x))/(x)=k then k= -Turito

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Maths-

General

Easy

Question

If $L straight t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator log begin display style space end style left parenthesis 3 plus x right parenthesis minus log space left parenthesis 3 minus x right parenthesis over denominator x end fraction equals k$ then k=

0
$- \frac{1}{3}$
$\frac{2}{3}$
$\frac{- 2}{3}$

The correct answer is: $2 over 3$

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