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Math Help - Finding asymptotes

  1. #1
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    Finding asymptotes

    Could someone please help me find the asymptotes for the following functions?

    f(x) = arctan(x^4 - x^2)
    f(x) = cot^-1 (x^2 - x^4)
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  2. #2
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    Quote Originally Posted by letzdiscuss View Post
    Could someone please help me find the asymptotes for the following functions?

    f(x) = arctan(x^4 - x^2) Mr F says: As x \rightarrow \pm \infty, f(x) \rightarrow \frac{\pi}{2}.

    f(x) = cot^-1 (x^2 - x^4) Mr F says: As x \rightarrow \pm \infty, f(x) \rightarrow 0. As x \rightarrow 0, f(x) \rightarrow + \infty.
    An understanding of the basic behaviour of the arctan and arccot functions is required.
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