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

Question

Quizplus · Accepted Answer

The given function can be simplified by dividing both the numerator and the denominator by $x$, assuming $x \neq 0$. This simplification yields $\lim _ { x \rightarrow 0 } \frac { x ^ { 2 } + 12 x - 5 } { 5 }$. As $x$ approaches 0, the expression simplifies to $\frac{0 + 0 - 5}{5} = -1$.

Find the Limit of the Function Algebraically 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 of the Function Algebraically $\lim _ { x \rightarrow 0 } \frac { x ^ { 3 } + 12 x ^ { 2 } - 5 x } { 5 x }$