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

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

lim_(xrarr0)(4^x-1)/(3^x-1) equals

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

lim_(xrarr0) (sin 3x)/x

lim_(xrarr0)((x-1+cosx)/(x))^(1//x)

If f(x)=lim_(nrarroo) (cos(x)/(sqrtn))^(n) , then the value of lim_(xrarr0) (f(x)-1)/(x) is

Show that lim_(xrarr0)(1)/(|x|)=oo.

The value of lim_(xrarr0)((4^x-1)^3)/(sin.(x^2)/(4)log(1+3x)) ,is