Find the following limit, if it exists.
$$\lim _ { x \rightarrow \infty } \frac { 5 } { x ^ { 8 } }$$
A) $\frac { 5 } { 8 }$
B) $- 5$
C) $- 1$
D) 0
E) The limit does not exist.

Question

Quizplus · Accepted Answer

As $x$ approaches infinity, the denominator $x^8$ grows much faster than the numerator 5. Thus, the fraction becomes extremely small and approaches 0. Therefore, the limit is 0.

Find the Following Limit, If It Exists lim⁡x→∞5x8\lim _ { x \rightarrow \infty } \frac { 5 } { x ^ { 8 } }x→∞lim​x85​

Find the Following Limit, If It Exists $\lim _ { x \rightarrow \infty } \frac { 5 } { x ^ { 8 } }$