Find the limit, if it exists.
-$\lim _ { x \rightarrow 0 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 5 x } { 5 x }$
A) 5
B) Does not exist
C) 0
D) $- 1$

Question

Quizplus · Accepted Answer

To find the limit, simplify the expression: $\frac{x^3 + 12x^2 - 5x}{5x} = \frac{x(x^2 + 12x - 5)}{5x} = \frac{x^2 + 12x - 5}{5}$. As $x \to 0$, the expression becomes $\frac{0^2 + 12(0) - 5}{5} = \frac{-5}{5} = -1$.

Find the Limit, If It Exists lim⁡x→0x3+12x2−5x5x\lim _ { x \rightarrow 0 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 5 x } { 5 x }limx→0​5xx3+12x2−5x​

Find the Limit, If It Exists $\lim _ { x \rightarrow 0 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 5 x } { 5 x }$