Question

How to find the equation and limits?

Answer 1

of 5/x-2 and y=x+4/x^2+9

Answer 2

question states: find the horizontal or oblique asymptotes and write their equation and also state in limit form

Answer 3

To find the horizontal asymptote you have to take the limit of the function at +- \[\infty\]

Answer 4

Because the idea is that as the function approaches +- infinity it approaches a certain y value.

Answer 5

can you explain how to so that with 5/x-2

Answer 6

I'm not sure what you're asking. Is 5 / (x-2) = f(x)?

Answer 7

If that was the case, you would write the problem like this:

lim 5/(x-2) = x(5/x / 1 -2/x/1) = 0
x->\[\infty\]

Answer 8

Because as x approaches infinity, the denominator gets bigger and bigger causing the y value to get smaller and smaller (when you divide a number by a larger number it makes it smaller). Therefore, it would be the same for negative infinity. So you have a horizontal asymptote at y = 0

Answer 9

how do you figure out the equation if u dont mind answring