Find the limit, if it exists.
-$$\lim _ { h \rightarrow 0 } \frac { 7 x + h } { x ^ { 3 } ( x - h ) }$$
A) $\frac { 7 } { x ^ { 4 } }$
B) $\frac { 7 } { x ^ { 3 } }$
C) Does not exist
D) $7 x$

Question

Quizplus · Accepted Answer

To find the limit, we can simply plug in $h = 0$ to get $\frac{7x}{x^3} = \frac{7}{x^2}$. Therefore, the limit as $h$ approaches 0 is $\frac{7}{x^2}$, which is option B.

Find the Limit, If It Exists lim⁡h→07x+hx3(x−h)\lim _ { h \rightarrow 0 } \frac { 7 x + h } { x ^ { 3 } ( x - h ) }h→0lim​x3(x−h)7x+h​

Find the Limit, If It Exists $\lim _ { h \rightarrow 0 } \frac { 7 x + h } { x ^ { 3 } ( x - h ) }$