Find
$$\lim _ { x \rightarrow 8 } \frac { 5 x } { \sqrt { x + 2 } }$$
by direct substitution.
A) $\frac { 8 } { \sqrt { 10 } }$
B) $10 \sqrt { 2 }$
C) $40 \sqrt { 10 }$
D) 1
E) $\frac { 40 } { \sqrt { 10 } }$

Question

Quizplus · Accepted Answer

Direct substitution of $x = 8$ into the given limit expression yields $\frac{5 \cdot 8}{\sqrt{8 + 2}} = \frac{40}{\sqrt{10}}$, which simplifies to the answer in choice E.

Find lim⁡x→85xx+2\lim _ { x \rightarrow 8 } \frac { 5 x } { \sqrt { x + 2 } }x→8lim​x+2​5x​

Find $\lim _ { x \rightarrow 8 } \frac { 5 x } { \sqrt { x + 2 } }$