[" If "l_(1)=lim_(x rarr-2)(x+|x|),l_(2)=lim_(x rarr-2)(2x+|x|)" and "],[qquad I_(3)=lim_(x rarr pi/2)(cos x)/(x-pi/2)," then "]

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

If l_1=lim_(xrarr-2)(x+|x|),l_2=lim_(xrarr-2)(2x+|x|) and l_(3)=lim_(xrarr pi//2)(cosx)/(x-pi//2) , then

If l_1=lim_(xrarr-2)(x+|x|),l_2=lim_(xrarr-2)(2x+|x|) and l_(3)=lim_(xrarr pi//2)(cosx)/(x-pi//2) , then

lim_ (x rarr pi) (sin3x) / (sin2x)

lim_(x rarr0)(1-cos x^(@))/(x^(2))

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)(4x+3)/(x-2)

lim_(x rarr0)(1-cos x)/(x^(2))

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