If `underset(xrarr0)"lim"(1+x)^(1//x)=e` , show that
`underset(xrarr0)"lim"(1+2x)^(1//x)=e^(2)`

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underset (xrarr0)lim x^(x)

underset(xrarr0)"lim"(a^(2x)-1)/(x) =

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

underset(xrarr0)"lim"(log(1+4x))/(x) =

underset(xrarr0)lim((1)/(sin x)-(1)/(x))

Evaluate : underset(xrarr0)"lim"(1)/(x) .