`lim_(xrarr0)((e^(4x^2)-1)/(3x))=?`

Evaluate the following limits: lim_(xrarr0)((e^(4x)-1)/(x))

Evalute lim_(xrarr0)((e^(3x)-1)/(x)).

Evaluate the following limits: lim_(xrarr0)((e^(x)-x-1)/(x))

Evaluate the following limits: lim_(xrarr0)((2^(x)-1)/(x))

Evaluate the following limits: lim_(xrarr0)((e^(tanx)-1))/(x)

Evaluate the following limits: lim_(xrarr0)((e^(2+x)-e^(2))/(x))

Evaluate the following limits: lim_(xrarr0)((e^(2+x)-e^(2))/(x))

Evaluate: (i)lim_(xrarr0)((e^(-x)-1)/(x))(ii)lim_(xrarr0)((e^(x)-e^(-x))/(x))(iii)lim_(xrarr0)((e^(x)+e^(-x)-2)/(x^(2)))

Evaluate lim_(xrarr0)((3^(2x)-1)/(2^(3x)-1)).

Evaluate : lim_(xrarr0 )(e ^(sinx)-1)/(x)