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CBSE Class 11-science Answered

E v a l u a t e space limit as x rightwards arrow 1 of x to the power of fraction numerator 1 over denominator x minus 1 end fraction end exponent

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Asked by Topperlearning User | 16 Nov, 2016, 04:38: AM
answered-by-expert Expert Answer

limit as x rightwards arrow 1 of x to the power of fraction numerator 1 over denominator x minus 1 end fraction end exponent
equals e to the power of limit as x rightwards arrow 1 of fraction numerator 1 over denominator x minus 1 end fraction log x end exponent
to the power of limit as x rightwards arrow 1 of fraction numerator 1 over denominator x minus 1 end fraction log x end exponent
l e t space x minus 1 equals t space w h e n space x rightwards arrow 1 space t rightwards arrow 0 space s o space t h e space l i m i t space b e c o m e s
limit as t rightwards arrow 0 of fraction numerator log left parenthesis 1 plus t right parenthesis over denominator t end fraction equals 1
e to the power of limit as x rightwards arrow 1 of fraction numerator 1 over denominator x minus 1 end fraction log x end exponent equals e

Answered by | 16 Nov, 2016, 06:38: AM
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