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

Evaluate the following limit: (lim)_(x rarr pi)(sqrt(5+cos x)-2)/((pi-x)^(2))

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

if L=lim_(x rarr pi)(tan(pi cos^(2)x))/((x-pi)^(2)) then (L)/(pi) is equal to:

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

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

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

lim_(x rarr pi/6)(sqrt(3)sin x-cos x)/(x-(pi)/(6))

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

(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)