Question

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

Answer 1

\[\left(\begin{matrix}\lim \\ x->10-\end{matrix}\right)\frac{ 1 }{ x-10 }\]

Answer 2

that would be x and arrow pointing to the 10 with a negative notation

Answer 3

yes, it means the limit as x approaches 10 from the left side (less than 10)

in other words, let x be 9.9 , 9.99, 9.999
what do you get for 1/(x-10) for each of those numbers?

Answer 4

Well for the first I got -10

Answer 5

you could do it with paper and pencil, or use a calculator, or use google
1/(9.9-10)=
in google gives -10

now as x gets closer to 10, say x=9.99 what do you get ?

Answer 6

-100

Answer 7

yes, and x=9.999 gives -1000

if you plotted these pairs of numbers:
(9.9, -10)
(9.99,-100)
(9.999,-1000)

what do you see ?

Answer 8

Oh okay they just add a 0