find `lim_(x->o)x^2/(cosxsinx)`

Evaluate: lim_(x to 0)(cotx)^(sin2x)

Find : ("lim")_(x->2)[x]

Evaluate: lim_(x->0) (1-cos2x)/(x^2)

Evaluate: lim_(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

If (lim)_(x->a)(x^3-a^3)/(x-a)=(lim)_(x->1)(x^4-1)/(x-1) , find all possible value o adot

Evaluate lim_(xto0) (e^(x^(2))-cosx)/(x^(2))

Evaluate lim_(xtooo)(2^(-x)sin(2^(x)))

Evaluate: lim_(xto oo)(2x^(2)-2x-sin^(2)x)/(3x^(2)-4x+cos^(2)x)

Evaluate lim_(xto0^(+)) x^(x)"and "lim_(xto0^(+))x^(x^(x))

If F(x)=[(cos^(2)x,cosxsinx),(cosxsinx,sin^(2)x)] and the difference of x and y is the odd Multiple of (pi)/(2), then F(x)F(y) is :