askme12345
  • askme12345
How to find the equation and limits?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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askme12345
  • askme12345
of 5/x-2 and y=x+4/x^2+9
askme12345
  • askme12345
question states: find the horizontal or oblique asymptotes and write their equation and also state in limit form
anonymous
  • anonymous
To find the horizontal asymptote you have to take the limit of the function at +- \[\infty\]

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anonymous
  • anonymous
Because the idea is that as the function approaches +- infinity it approaches a certain y value.
askme12345
  • askme12345
can you explain how to so that with 5/x-2
anonymous
  • anonymous
I'm not sure what you're asking. Is 5 / (x-2) = f(x)?
anonymous
  • anonymous
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->\[\infty\]
anonymous
  • anonymous
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
askme12345
  • askme12345
how do you figure out the equation if u dont mind answring

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