Evaluate `("lim")_(xvecpi/4)(1-sin2x)/(1+cos4x)`

Evaluate lim_(x rarr pi)(1-(sin x)/(2))/((cos x)/(2)((cos x)/(4)-(sin x)/(4)))

Evaluate lim_ (x rarr (pi) / (4)) (1-2sin2x) / (1 + cos4x)

Evaluate the following: (lim)_(xvecpi/2)(sin x)/x

4int(1+sin^(2)2x)/(1+cos4x)dx=

Evaluate: lim_(xrarr(pi)/(4)) (sin x -cos x)/(x-(pi)/(4))

Evaluate lim_(xto0)(1-cos2x)/(1-cos4x)

Evaluate underset(x to pi/4)lim (1-sin 2x)/(1+cos 4x)

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

Evaluate lim_(x to (pi)/(4)) (cos x - "sin" x)/(cos 2x)

Evaluate: lim_(x rarr(pi)/(4))(sqrt(2)cos x-1)/(cot x-1)