Find the limit of the function algebraically.
-$$\lim _ { x \rightarrow 0 } \frac { - 5 + x } { x ^ { 4 } }$$
A) 5
B) $- 5$
C) Does not exist
D) 0

Question

Quizplus · Accepted Answer

The function $\frac{-5 + x}{x^4}$ becomes undefined as $x$ approaches 0, because the denominator approaches 0 while the numerator approaches -5, leading to an undefined expression. Therefore, the limit does not exist.

Find the Limit of the Function Algebraically lim⁡x→0−5+xx4\lim _ { x \rightarrow 0 } \frac { - 5 + x } { x ^ { 4 } }x→0lim​x4−5+x​

Find the Limit of the Function Algebraically $\lim _ { x \rightarrow 0 } \frac { - 5 + x } { x ^ { 4 } }$