`lim_(x-gtpi/2)(sqrt(2)-sqrt(1+sinx))/(cos^2x)`

Evaluate the following limit: (lim)_(x->pi//2)(sqrt(2)-sqrt(1+sin x))/(cos^2x)

Evaluate the following limits: lim_(xrarr(pi)/(2))(sqrt2-sqrt(1+sinx))/(sqrt2cos^(2)x)

Find the value of lim_(x rarr0)(sqrt(2)-sqrt(1+cos x))/(sin^(2)x)

Evaluate the limit: lim_(x rarr0)(sqrt(2)-sqrt(1+cos x))/(sin^(2)x)

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

lim_(x->pi/4)(2sqrt(2)-(cosx+sinx)^3)/(1-sin2x)=

Evaluate the following limits: lim_(xrarr0)((sqrt(1+2x)-sqrt(1-2x)))/(sinx)

The value of the limit lim_(x to pi/2) (4sqrt2)(sin3x +sinx)/((2 sin 2x sin. (3x)/2 +cos. (5x)/2)-(sqrt(2)+sqrt(2)cos 2x +cos. (3x)/2)) is _______