" 1.Find "lim_(x rarr(pi)/(2))(cos x)/((pi)/(2)-x)

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

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

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

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

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))(cos x)^(cos x) is

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

Let f(x)=(k cos x)/(pi-2x) if x!=(pi)/(2) and f(x=(pi)/(2)) if x=(pi)/(2) then find the value of k if lim_(x rarr(pi)/(2))f(x)=f((pi)/(2))

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