Evaluate the limit: `("lim")_(xvec0)(sqrt(2)-sqrt(1+cosx))/(sin^2x)`

Evaluate the following limits: lim_(x to0)(sqrt2-sqrt(1+cosx))/(2x+sin3x)

Evaluate, lim_(xto0) (sqrt(2)-sqrt(1+cosx))/(sin^(2)x)

The value of the limit ("lim")_(xvec0)(a^(sqrt(x))-a^(1sqrt(x)))/(a^(sqrt(x))+a^(1sqrt(x))),a >1,i s 4 (b) 2 (c) -1 (d) 0

Evaluate the following limit: (lim)_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(2x)

Evaluate the following limit: (lim)_(x rarr0)(sqrt(2-x)-sqrt(2+x))/(x)

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

Evaluate the limit: (lim)_(xvec 1)(sin(log x))/(log x)

Evaluate the following limit: (lim)_(x rarr0)(sqrt(a+x)-sqrt(a))/(x sqrt(a^(2)+ax))

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

Evaluate the following limit: (lim)_(x rarr1)(sqrt(5x-4)-sqrt(x))/(x^(2)-1)