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By Expert Faculty of Sri Chaitanya
Question

The value of 78.6elimx01+x1xe1x is 

Difficult
Solution

 Let P=limx0(1+x)1/xe1/x

=elimx01+x1xe-11x=e1elimx0(1+x)1/xex                        =e1e(e/2)=e1/2=1e     since limx0(1+x)1/xex=limx0e1-x2+1124x2..-ex =-e2        

78.6elimx0(1+x)1/xe1/x=78.6e1e=78.6


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