PLEASE HELP!!! NEED IT ASAP
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 4 as x approaches 4 from the left

@phi or anyone else

Question

PLEASE HELP!!! NEED IT ASAP
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 4 as x approaches 4 from the left	

@phi or anyone else

phi · Answer

$$ \lim_{x \rightarrow 4^-} \frac{x}{x-4}$$ ?

latinaas · Answer

yes

phi · Answer

the top approaches 4
the bottom approaches 0, but because x is smaller than 4 (we are moving in from the "left" side of 4 e.g. from 3),  x-4 will be negative.  x never reaches 4, so the bottom is always negative.  so I would say  negative infinity is the limit

latinaas · Answer

and no vertical asymptotes? and if you have a little bit more time I have one more question.

phi · Answer

it is a vertical asymptote.   if you graph this, the line goes down and gets close to the (vertical line) x=4