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askme12345

  • 3 years ago

How to find the equation and limits?

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  1. askme12345
    • 3 years ago
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    of 5/x-2 and y=x+4/x^2+9

  2. askme12345
    • 3 years ago
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    question states: find the horizontal or oblique asymptotes and write their equation and also state in limit form

  3. Decave
    • 3 years ago
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    To find the horizontal asymptote you have to take the limit of the function at +- \[\infty\]

  4. Decave
    • 3 years ago
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    Because the idea is that as the function approaches +- infinity it approaches a certain y value.

  5. askme12345
    • 3 years ago
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    can you explain how to so that with 5/x-2

  6. Decave
    • 3 years ago
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    I'm not sure what you're asking. Is 5 / (x-2) = f(x)?

  7. Decave
    • 3 years ago
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    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
    • 3 years ago
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    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
    • 3 years ago
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    how do you figure out the equation if u dont mind answring

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