`lim_(x->0^+)((1-cos(sin^2x)/(x^2))^(ln(1-2x^2)/(sin^(2x))`

lim_(x->0) (1-cos x)/(sin^2 x)

lim_(x->0)((1-cos2x)sin5x)/(x^2sin3x)

The value of lim_(xrarr0^(+))((1-cos(sin^(2)x))/(x^(2)))^((log_(e)(1-2x^(2)))/(sin^(2)x)) is

The value of lim_(xrarr0^(+))((1-cos(sin^(2)x))/(x^(2)))^((log_(e)(1-2x^(2)))/(sin^(2)x)) is

lim_(x rarr0)(cos^(-1)((1-x^(2))/(1+x^(2))))/(sin^(-1)x)

The value of lim_(xrarr0) {1^((1)/(sin^(2)x)+)2^((1)/(sin^(2)x))+3^((1)/(sin^(2)x))+.....+n^((1)/sin^(2)x)}^(sin^2x) , is

lim_(x rarr0)(sin^(2)x(1-cos2x))/(x^(2))

Evaluate: lim_(x->0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

a=lim_(x rarr0)(ln(cos2x))/(3x^(2)),b=lim_(x rarr0)(sin^(2)2x)/(x(1-e^(x))),c=lim_(x rarr1)(sqrt(x)-x)/(ln x)

lim_ (x rarr0 ^ (+)) ((1- (cos (sin ^ (2) x)) / (x ^ (2))) ^ ((ta (1-2x ^ (2))) / (sin ^ (2) x))