Evaluate ` lim_(x to 0) sqrt((x-sin x)/(x+cos^(2) x))`.

1.	Evaluate ` lim_(x to 0) sqrt((x-sin x)/(x+cos^(2) x))`.
Answer» `underset( x to 0) lim sqrt((x-sin x)/(x + cos^(2) x) )=(underset(x to 0) lim (x -sin x)^(1//2))/(underset(x to 0) lim (x + cos^(2) x)^(1//2))` ` =(underset(x to 0) lim [x(1-(sin x)/x)]^(1//2))/(underset(x to 0) lim (0+1)^(1//2) )` ` = (0*0)/1 = 0`

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