turkey-yks 2016 Q40

turkey-yks · Other · lys1-math Differentiation from First Principles
$$\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 5 } - \sqrt { 5 } } { x }$$
What is the value of this limit?
A) $\frac { \sqrt { 5 } } { 5 }$
B) $\frac { 2 \sqrt { 5 } } { 5 }$
C) $\frac { \sqrt { 5 } } { 10 }$
D) 0
E) $2 \sqrt { 5 }$
$$\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 5 } - \sqrt { 5 } } { x }$$

What is the value of this limit?\\
A) $\frac { \sqrt { 5 } } { 5 }$\\
B) $\frac { 2 \sqrt { 5 } } { 5 }$\\
C) $\frac { \sqrt { 5 } } { 10 }$\\
D) 0\\
E) $2 \sqrt { 5 }$