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Math Help - infinite branch

  1. #1
    ali
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    infinite branch

    how we know or prove that a function has a branch infinite
    and how we study it?
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  2. #2
    Member WhoCares357's Avatar
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    Quote Originally Posted by ali View Post
    how we know or prove that a function has a branch infinite
    and how we study it?
    What do you mean by an infinite branch? Can you give a small example?
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  3. #3
    ali
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    like if you take a function tan
    and you draw the curve or graph you have 2 infinte branches
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  4. #4
    Member WhoCares357's Avatar
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    Quote Originally Posted by ali View Post
    like if you take a function tan
    and you draw the curve or graph you have 2 infinte branches
    You can prove it by taking the limit as the function goes to infinity at a point. For example if you want to prove that tan has two infinite branches, you would say:

    \lim_{x->\frac{\Pi}{2}^-}tan(x)=\infty
    \lim_{x->\frac{\Pi}{2}^+}tan(x)=-\infty

    - Wolfram|Alpha
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