lim_(x rarr0)(1-x)^(4)=1

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

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

lim_(x rarr 0) (1-ax)^(1/x) =

Evaluate : lim_(x rarr 0)((1+x)^4-1)/x .

lim_(x rarr0)((1+x)^((1)/(4))-(1-x)^((1)/(5)))/(x)

L_(1)=lim_(x rarr0^+)(1+x)^(1/x),L_(2)=lim_(x rarr0^(+))(1+x)^(1/x^(2)),L_(3)=lim_(x rarr0^(+))(1+x^(2))^(1/x) ,Then

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

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

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