Question

limits

Answer 1

use graphs and tables to find the limit and identify and vertical asymptotes of \[\lim_{x \rightarrow 2^-} \frac{ 1 }{ x-2 }\]

Answer 2

Alright, so where are you running into trouble? Have you tried graphing it or making a table?

Answer 3

how do i make a table for this?

Answer 4

isnt the answer -infinity;x=2

Answer 5

Basically since you're approaching 2 from the left side, so I would pick numbers smaller than 2, but close to it. What's a good choice? Well, how about:

x=1.9

If we say f(x)=1/(x-2) then we can evaluate it there.

Then we can make our table with these values:

1.9, 1.99, 1.999, 1.9999 and write the f(x) values near there to make your table. It should start to be obvious and yes, you're right that's the answer.