Find the limit.
-$$\lim _ { x \rightarrow 0 ^ { - } } \left( \frac { 1 } { x ^ { 1 / 5 } } + 8 \right)$$
A) 8
B) $*$
C) $\infty$
D) Does not exist

Question

Quizplus · Accepted Answer

As $x$ approaches 0 from the left (negative side), $x^{1/5}$ becomes a small negative number, causing $\frac{1}{x^{1/5}}$ to approach negative infinity. Adding 8 does not change the fact that the expression diverges to negative infinity, which is represented by the asterisk (*) in the choices.

Find the Limit lim⁡x→0−(1x1/5+8)\lim _ { x \rightarrow 0 ^ { - } } \left( \frac { 1 } { x ^ { 1 / 5 } } + 8 \right)x→0−lim​(x1/51​+8)

Find the Limit $\lim _ { x \rightarrow 0 ^ { - } } \left( \frac { 1 } { x ^ { 1 / 5 } } + 8 \right)$