` lim_(x-> pi/2) ([1- tan (x/2)][1-sin x])/([1+ tan(x/2)][pi - 2x]^3) `

lim_(x to (pi)/(2))([1-tan((x)/(2))][1-sinx])/([1+tan((x)/(2))][pi-2x]^(3))=

lim_(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)^(3)) is :

(lim)_(x->pi/2)(tan2x)/(x-pi/2)

(lim)_(x->pi/2)(tan2x)/(x-pi/2)

The value of underset(x -> (pi)/(2))(lim) ({1 - tan (x/2)}{1-"sin"x})/({1 + tan (X/2)}(pi - 2x)^(3)) equals

The value of lim_(x rarr(pi)/(2))({1-(tan x)/(2)}{1-sin x})/({1+(tan x)/(2)}(x-2x)^(3)) equals

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

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