Value of `underset(xrarr0)lim(x+2si n x)/(sqrtx^(2)+2sinx+1)-sqrt(x-sin^(2)x+1))` is

Answer

2

Explanation

`lim_(xto0)((x/x+(2 sin x)/x)(sqrt(x^(2)+2sinx+1)+sqrt(sin^(2)x-x+1)))/((x^(2))/x-(sin^(2)x)/x+(2 sinx)/x+x/x)=2`