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

Evaluate lim_(xto(pi)/(2)) (1+cos2x)/((pi-2x)^(2)).

Evaluate lim_(xto(pi)/(2)) (1+cos2x)/((pi-2x)^(2)).

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

(i) lim_(x to (pi)/(2)) (1+cos 2x)/((pi-2x)^(2)) (ii) lim_( x to 0) (1-cos x.sqrt(cos 2x))/(x^(2)) (iii) lim_(thetararr(pi)/(6)) (sin(theta-(pi)/(6)))/(sqrt(3)-2 cos theta)

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))(1+cos x)^(2sec x)

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

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

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