`lim_(x rarr0)x(cosec x)`

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

lim_(x rarr0)|x|^|cos x|

lim_(n rarr0)(2-cot x)

The value of : lim_(x rarr0)(cosx-1)/(x) is

The value of lim_(x rarr 0) (1-cos2x)/(e^(x^(2))-e^(x)+x) is

7. lim_(x rarr0)(x(log x)^(2))/(1+x+x^(2))

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

Let f(x) is a function continuous for all x in R except at x = 0 such that f'(x) lt 0, AA x in (-oo, 0) and f'(x) gt 0, AA x in (0, oo) . If lim_(x rarr 0^(+)) f(x) = 3, lim_(x rarr 0^(-)) f(x) = 4 and f(0) = 5 , then the image of the point (0, 1) about the line, y.lim_(x rarr 0) f(cos^(3) x - cos^(2) x) = x. lim_(x rarr 0) f(sin^(2) x - sin^(3) x) , is

lim_(x rarr0)(x-sin x)/(tan^(3)x)

(i) lim_(x rarr0)(x-sin x)/(tan^(3)x)