turkey-yks 2011 Q37

turkey-yks · Other · lys1-math Small angle approximation
$$\lim _ { x \rightarrow 0 } \frac { x + \arcsin x } { \sin 2 x }$$
What is the value of this limit?
A) 0
B) 1
C) $\frac { 2 } { 3 }$
D) $\frac { 4 } { 3 }$
E) $\frac { 1 } { 6 }$
$$\lim _ { x \rightarrow 0 } \frac { x + \arcsin x } { \sin 2 x }$$

What is the value of this limit?\\
A) 0\\
B) 1\\
C) $\frac { 2 } { 3 }$\\
D) $\frac { 4 } { 3 }$\\
E) $\frac { 1 } { 6 }$