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

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

(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)

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

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

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

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

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

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

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