Evaluate `lim_(x->pi/2) cosx/(x-pi/2)`

Consider a function, f(x)=2/3ln^(3/2) (sinx+cosx) for x in (0,pi/2) The value of Lim_(x->pi/2) f(x)/(pi/2-x)^(3/2)

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

Evaluate lim_(xto (pi^(-))/(2)) (cosx)^(cosx).

Evaluate, lim_(xto(pi//4)) (sinx-cosx)/(x-pi/4)

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

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

The lim_(xto(pi)/2)(cot x-cosx)/((pi-2x)^(3)) equals

The value of lim_(xto pi//2)(cot x-cosx)/(pi-2x)^3 is

If l_1=lim_(xrarr-2)(x+|x|),l_2=lim_(xrarr-2)(2x+|x|) and l_(3)=lim_(xrarr pi//2)(cosx)/(x-pi//2) , then

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