x^(2)sin x

lim_(x rarr0)(2+2x+sin2x)/((2x+sin2x)e^(sin x)) is

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

Find the range of the function f(x)=(sin^(2)x+sin x-1)/(sin^(2)x-sin x+2)

The value of (cos^(4)x+cos^(2)x sin^(2) x + sin^(2)x)/(cos^(2)x+ sin^(2) x cos^(2) x + sin^(4)x) is ____________

lim_ (x rarr oo) (2 + 2x + sin2x) / ((2x + sin2x) e ^ (sin x)) is:

The range of the function f(x)=sgn((sin^(2)x+2sin x+4)/(sin^(2)x+2sin x+3)) is

Ascertain the existence of the following limits : lim_(xtooo) (2+2x+sin 2x)/((2x+sin 2x)e^(sin x))

Find the range of f(x)=(2sin^(2)x+2sin x+3)/(sin^(2)x+sin x+1)

int(dx)/(sin x(2+cos x-2sin x))

Prove that: ,,(sin x-sin3x)/(sin^(2)x-cos^(2)x)=2sin x