Evaluate: `lim_(x->pi/2)(1+cos2x)/((pi-2x)^2)`

Evaluate lim_(xrarr(pi)/(2))(cosx)/(((pi)/(2)-x)).

Evaluate lim_(x to pi)((1+cosx)/(tan^(2)x)).

(i) lim_(x to (pi)/(2)) (1+cos 2x)/((pi-2x)^(2)) (ii) lim_( x to 0) (1-cos x.sqrt(cos 2x))/(x^(2)) (iii) lim_(thetararr(pi)/(6)) (sin(theta-(pi)/(6)))/(sqrt(3)-2 cos theta)

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

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

Evaluate: lim_(x rarr(pi)/(2))(cos x)^(cos x)

lim_( x to (pi/(2)) (tan2x)/(x-(pi)/(2))

lim_ (x rarr (pi) / (2)) (1 + cos2x) / ((pi-2x) ^ (2))

lim_(x rarr(pi)/(2))(cot x-cos x)/((pi-2x)^(3)) equals