Evaluate: `("lim")_(xvecpi/2)(cosx)^(cosx)`

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

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

Evaluate : int_(0)^(pi//2)(cosx)/((3cosx+sinx))dx .

Evaluate: ("Lim")_(x->0)(1-cosx cos2x cos3x)/(x^2)

Evaluate the following: (lim)_(xvecpi/2)(sin x)/x

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

The value of lim_(xrar2pi)(cos x-(cosx)^(cosx))/(1-cos x+ln(cosx)) is equal to

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

(lim)_(x->\ 0)(cosx)^(cot2x) equals

Evaluate lim_(xto2)(3+sinx)/(cosx)