The value of \(\mathop {{\rm{lim}}}\limits_{x \to 0} \frac{{x + 2{\rm{sin}}x}}{{\sqrt {{x^2} + 2{\rm{sin}}x + 1} - \sqrt {{\rm{si}}{{\rm{n}}^2}x - x + 1} }}\) is:

The value of \(\mathop {{\rm{lim}}}\limits_{x \to 0} \frac{{x + 2{\rm{

1.	The value of \(\mathop {{\rm{lim}}}\limits_{x \to 0} \frac{{x + 2{\rm{sin}}x}}{{\sqrt {{x^2} + 2{\rm{sin}}x + 1} - \sqrt {{\rm{si}}{{\rm{n}}^2}x - x + 1} }}\) is:
A.	6
B.	2
C.	3
D.	1
Answer» C. 3