Question

find the vertical, horizontal and oblique asymptotes of (x^2-5) / (x-2)

Answer 1

it has a vertical asymptote at x=2
b/c of the value for which the denominator equals zero i.e.,where the function become infinite.

Answer 2

make sense?

Answer 3

for horizontal asymptote:
\[\lim_{x \rightarrow \infty} \frac{x ^{2}-5} { x-2 }\]
it gives infinity so it has no horizontal asymptote.

Answer 4

are you getting this?

Answer 5

yes I got it. so would the slant asymptote be x+2