" 22."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)

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))=

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)^(cos x) is

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

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

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