?The Limit of (1 + x ) ^ (1/x) - e / x As x-->0

Answers (1)

Solution:    We have  ,

                     lim_x	o 0frac(1+x)^frac1x-ex

         We know ,       (1+x)^frac1x=e[1-fracx2+frac1124x^2- ...........]

     	herefore                 lim_x	o 0frace(1-fracx2+frac1124x^2-........)-ex=-frace2  

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