Question

Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

limit of x divided by the quantity x minus 5 as x approaches 5 from the left

Answer 1

@hoblos @undeadknight26

Answer 2

@ParthKohli

Answer 3

@thomaster

Answer 4

@RadEn

Answer 5

@satellite73

Answer 6

@SolomonZelman

Answer 7

@beccaboo333

Answer 8

Is this your question
\[
\lim_{x\to 5^{-}} \frac x{x-5}
\]

Answer 9

See the graph
http://www.wolframalpha.com/input/?i=plot+x%2F%28x-5%29++for+x%3D2+to+x%3D8

Answer 10

x is >0 near 5 and x-5 <0 when x approaches 5 from the left Hence

\[
\lim_{x\to 5^{-}} \frac x{x-5}=-\infty
\]
The graph above confirms that.
The line x=5 is vertical asymptote