lim_(x rarr0)((x^(n)*sin^(n)x)/(x^(n)-sin^(n)x))

Lef f(x)=lim_(x rarr0)(x^(2n)sin^(n)x)/(x^(2n)-sin^(2n)x),x!=0 and f(0)=L for some n. If f(x) is continuous at x=0, then

lim_(x rarr0)x^(2)sin(pi/x)=

lim_(x rarr0)(x)/(sin2x)

lim_(x rarr0)(x)/(sin2x)

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

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

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

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

lim_(x rarr0)(cot x)^(sin x)

lim_(x rarr0)(sin x)^(x)