Pre-calculus question

Question

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

limit of 1 divided by the quantity x minus 8 as x approaches 8 from the left

Answer 1

lim 1/(x-8) as x →8^-

you can experiment with values close to 8 but 'not quite there', namely 7.9, 7.99, etc. and you see that the denominator is negative but small in absolute value; therefore the quotient is negative but its absolute value is larger and larger as the x value gets closer to 8.  Therefore this limit DNE but it can be expressed as -infinity to show you what's happening