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

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

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

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

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

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

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

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

lim_(x rarr(pi)/(2))(cos x)^(cos x) is

lim_ (x rarr (pi) / (2)) [(6cos x) / (2x-pi)]