lim_(x rarr pi)(1+cos^(3)x)/(sin^(2)x)

lim_(x rarr0)(1-cos^(3)x)/(x sin2x)

lim_(x rarr (pi/2)) (cos^2x)/(1-sin^2x) =

value of lim_(x rarr0)(1-cos^(3)x)/(x sin x*cos x) is

Lim_(x rarr pi/2)(cos x)/((pi)/(2)-x)

lim_ (x rarr pi) (sin3x) / (sin2x)

lim_ (x rarr pi) (1 + cos x) / ((pi-x) ^ (2))

lim_(x rarr0)(cos^(-1)(cos x))/(sin^(-1)(sin x)) is equal to :

lim_ (x rarr pi) (1 + cos x) / (x-pi)

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

If f(x) = sin^(-1) x then prove that lim_(x rarr (1^(+))/(2)) f(3x -4x^(3)) = pi - 3 lim_(x rarr (1^(+))/(2)) sin^(-1) x