Find All Horizontal and Vertical Asymptotes of the Function$y ( x ) = \frac { 5 } { x - 5 }$

Question

Examlex · Accepted Answer

The Answer is

y ( x ) = \frac { 5 } { x - 5 } = \frac { 5 / x } { 1 - 5 / x } \rightarrow 0

as

x \rightarrow \infty

, so

y = 0

is the horizontal asymptote. A vertical asymptote occurs when

x - 5 = 0

or

x = 5

.

Find All Horizontal and Vertical Asymptotes of the Function $y ( x ) = \frac { 5 } { x - 5 }$