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Maths-

General

Easy

Question

$L t subscript x not stretchy rightwards arrow 1 end subscript fraction numerator log subscript e superscript x over denominator x minus 1 end fraction$

0
$\log x$
$\frac{\log x}{x}$
1

hint Hint:

In this question, we have to find the value for that first we will use L' Hospital theorem and then simplify it and put the value of x.

The correct answer is: 1

$L t subscript x not stretchy rightwards arrow 1 end subscript fraction numerator log subscript e superscript x over denominator x minus 1 end fraction U sin g space L apostrophe H o s p i t a l space t h e o r e m comma space equals L t subscript x not stretchy rightwards arrow 1 end subscript fraction numerator begin display style 1 over x end style over denominator 1 end fraction equals L t subscript x not stretchy rightwards arrow 1 end subscript 1 over x equals 1 over 1 equals 1.$

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