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

lim_(x rarr0)((1+x)^((1)/(x))-e+(ex)/(2))/(x^(2))

lim_(x rarr0)((1+x)^((1)/(x))-e+(ex)/(2))/(x^(2))

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

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

lim_(x rarr0)((1+x)^(4)-1)/(x)

lim_(x rarr0)((1+x)^(4)-1)/(x)

lim_(x rarr0)((1-x)^(n)-1)/(x)

if {x} represents the fractional part of x the value of lim_(x rarr0)[((1+{x})^((1)/(x)))/(e)]^((1)/({x})) is

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

If the value limit lim_(x rarr0)((1+x)^(1/x)-e+(ex)/(2))/(x^(2))=( Ae)/(B) where A and B are coprime, then the value of (A+B)