HELP! Use graphs and tables to find the limit and identify any vertical asymptotes of?
lim 1/x-5
x--5-

Question

HELP! Use graphs and tables to find the limit and identify any vertical asymptotes of?
lim 1/x-5
x-->5-

johnweldon1993 · Answer

Well a vertical asymptote occurs when the denominator = 0..so THIS equation (1/(x-5)) ...what value of 'x' makes THAT denominator = 0?

anonymous · Answer

@johnweldon1993 5?

johnweldon1993 · Answer

correct! so there will be a vertical asymptote at x = 5....now

if you look at the graph of this equation....you will see that going to 5 from the left side....the graph goes to -infinity....if you look at it going to 5 from the right side...you will see it goes to infinity.....so since this question asks...what is the limit as x approaches 5 from the left side.....well...it = -infinity

$$-\infty$$

Help to understand if you look at the graph of it :)

anonymous · Answer

@johnweldon1993 thank you so much!

johnweldon1993 · Answer

anytime! :)