Question

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

Answer 1

\[\lim_{x \rightarrow 2}1/(x-2)^2\]

Answer 2

@Mertsj

Answer 3

btw Welcome to Openstudy :) @aaaaalicia

Answer 4

Satellite is great at these questions and I see you lucked out...he is present.

Answer 5

@Luigi0210 aww thank you :DD and @Mertsj okay cool beans!! i'll tag em up, thanks :)

Answer 6

@satellite73

Answer 7

I can try to help :3
Do you know how to start this off?

Answer 8

Yay!! okey @Luigi0210 um no I've no clue :)

Answer 9

I think it would help if we drew a graph.
What is this btw? Calc I?

Answer 10

precal :) and okay!

Answer 11

the denominator goes to zero right? and it is always positive
whereas the numerator is always 1

Answer 12

Oh, so you guys don't take infinity as an answer huh?

Answer 13

so it goes up to infinity
you can also view this as basically the same as \(\frac{1}{x^2}\) only shifted to the right 2 units

Answer 14

Btw, here is a visual:

Answer 15

since it says "use a graph" look here
http://www.wolframalpha.com/input/?i=1%2F%28x-2%29^2

Answer 16

I see the graph but Im not really sure how to use that to explain what the v asymptotes are? I'm still not quite sure what they are! @Luigi0210 @satellite73

Answer 17

Well there is a vertical asymptote at x=2, because as the graph gets higher on the y axis they approach but never touch 2

Answer 18

I think there might be a horizontal asym. too, I'm not sure

Answer 19

so the only vertical asym. of this is x=2?? and for that reason? omg this is confusing a little bit @Luigi0210

Answer 20

Yes, vertical at x=2 and horizontal at y=0.
Sorry I'm awful at explaining >.<

Answer 21

it's okay you were a good teacher :) @Luigi0210

Answer 22

I hope I didn't confuse you too much :)