Question

Find the horizontal asymptote of (x^2)/sqrt((x^4)+2)

Answer 1

Horizontal Asymptote of:\[\frac{ x^2 }{ \sqrt{x^4+2} }\]

Answer 2

try this:
devide everything by x^2. You will get:
\(1/\sqrt{1+(2/x^4)}\)
now just by inspection you find that asymptote is y=1

Answer 3

Could you please explain dividing the denominator by x^2?

Answer 4

are you asking how it was done or why it was done?

Answer 5

how

Answer 6

this is how:
\( \huge\frac{x^2/x^2}{\sqrt{1+2}/x^2}=\frac{x^2/x^2}{\sqrt{1+2/x^4}}=\frac{1}{\sqrt{1+2/x^4}}\)

Answer 7

okay, thanks :)

Answer 8

yw