How do I find the vertical and horizontal asymptotes of #f(x)=x^2/(x-2)^2#?
1 Answer
Jun 1, 2015
- Vertical asymptotes :
These are the illegal values for x
You mustn't divide by 0, thus
Which means
And thus
2 is the illegal value
So there is a vertical asymptote in
- Horizontal asymptotes :
We are looking for the limits
- Limit in
#-prop#
The
So
We thus have an horizontal asymptote in
- Limit in
#prop#
The
So
Same vertical asymptote in