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

Evaluate the following limit : lim_(x rarr pi/2)(2^(-cosx)-1)/(x(x- pi/2)) .

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

Let [x] denote the greatest integer not exceeding x. If l_(1) = lim_(x rarr 2^(+)) (x^(2) + [x]), l_(2) = lim_(x rarr 2^(+)) (2x - [x]) and l_(3) = lim_(x rarr (pi)/(2))((cos x)/(x-(pi)/(2))) , then

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

Evaluate the following limit : lim_(x rarr pi/2)(e^(cos x)-1)/(cos x) .

Evaluate the following limit : lim_(x rarr pi//2)(cos x)/(pi/2-x) .

if L=lim_(x rarr pi)(tan(pi cos^(2)x))/((x-pi)^(2)) then (L)/(pi) is equal to:

lim_(x rarr(pi)/(2))((1)/((x-(pi)/(2))^(2))int_(x^(3))^(3)cos(t^((1)/(3)))dt) is equal to

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