Find $\lim _ { x \rightarrow \infty } \frac { 6 } { 5 x }$ (if it exists).
A) 0
B) $\frac { 6 } { 5 }$
C) $\infty$
D) $\frac { 1 } { 30 }$
E) limit does not exist

Question

Quizplus · Accepted Answer

As $x$ approaches infinity, the fraction $\frac{6}{5x}$ approaches 0. This can be seen by considering larger and larger values of $x$, which make the denominator larger and larger, while the numerator stays constant. Therefore, the limit is 0.

Find lim⁡x→∞65x\lim _ { x \rightarrow \infty } \frac { 6 } { 5 x }limx→∞​5x6​

Find $\lim _ { x \rightarrow \infty } \frac { 6 } { 5 x }$