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

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

Lim_(x rarr(pi)/(2))(e^(cos x)-1)/((pi)/(2)-x)

lim_ (x rarr (pi) / (2)) (1-sin x) / (((pi) / (2) -x) cot x)

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

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

lim_ (x rarr pi / 2) (1-sin x) / (((pi) / (2) -x) cot x)

lim_(x rarr(pi)/(2))(((pi)/(2)-x)sin x-2cos x)/(((pi)/(2)-x)+cot x)

lim_ (x rarr (pi) / (2)) [(x- (pi) / (2)) / (cos x)]

Evaluate lim_(x rarr pi)(1-(sin x)/(2))/((cos x)/(2)((cos x)/(4)-(sin x)/(4)))

Consider a function,f(x)=(2)/(3)ln(sin x+cos x)^((3)/(2)) for x in(0,(pi)/(2)) The value of lim_(x rarr(pi)/(2))(f(x))/((pi)/(2)-x) is