Find the Limit of (1+x)^1/x - e / x as limit x-->0

Answers (1)

Solution:   We  have ,

                  lim_x	o0frac(1+x)^frac1x-ex

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

         Hence ,    lim_x	o0frace(1-fracx2+frac1124x^2-........)-ex=frace2

                

                   

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