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

  1. 0
  2. log invisible function application x
  3. fraction numerator log invisible function application x over denominator x end fraction
  4. 1

hintHint:

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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