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## askme12345 3 years ago How to find the equation and limits?

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1. askme12345

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

2. askme12345

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

3. Decave

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

4. Decave

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

5. askme12345

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

6. Decave

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

7. Decave

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->$\infty$

8. Decave

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

9. askme12345

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

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