" 3."lim_(x rarr(pi)/(2))(cos x)/((pi)/(2)-x)=

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

Consider a function,f(x)=(2)/(3)ln(sin x+cos x)^((3)/(2)) for x in(0,(pi)/(2)) The value of lim_(x rarr(pi)/(2))(f(x))/((pi)/(2)-x) is

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

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