`lim_(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-q x)))`

The expression (tan(x-(pi)/(2)).cos((3pi)/(2)+x)-sin^(3)((7pi)/(2)-x))/(cos(x-(pi)/(2)).tan((3pi)/(2)+x)) simplifies to

lim_(xto pi)(sin3x)/(sin2x)

Evaluate lim_(xto(pi)/(2))(cotx)/((pi)/(2)-x)

Slope of tangent to the curve y=2e^(x)sin((pi)/(4)-(x)/(2))cos((pi)/(4)-(x)/(2)) , where 0le xle2pi is minimum at x =

lim_(xto pi/2)(2x-pi)/cosx

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

Evaluate lim_(xto(pi)/(2))(tan2x)/(x-(pi)/(2))

d/(dx)sqrt((1-sin2x)/(1+sin2x))i se q u a lto,(0

Evaluate lim_(xto pi) (sin^(-1)(1+cosx).sec((x)/(2)))/((x-pi)).

If f(a)=lim_(xto2)(sin^(x)a+cos^(x)a)^((1)/((x-2)))" for "ain[0,(pi)/(2)], then