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If lim(x->0)(2+f(x)/x^2)^(1/x)=e^2 and ...

If `lim_(x->0)(2+f(x)/x^2)^(1/x)`=`e^2` and `f(x)=a_0+a_1x+a_2x^2+a_3x^3+......`, then :

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