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lim(x rarr0)(((1+x)^(1/x))/(e))^(1/x)...

lim_(x rarr0)(((1+x)^(1/x))/(e))^(1/x)

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The value of lim_(x rarr0)((e^(1/x^(2))-1)/(e^(1/x^(2)+1))) is :

lim_(x rarr 0) (e^(1/x)-1)/(e^(1/x)+1) =