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Math Help - Maclaurin series

  1. #1
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    Maclaurin series

    When we expand maclaurin series for function y = ln(1+x) then we need the condition -1 < x \le 1. Why???
    Pl help me. Thanks so much.
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  2. #2
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    Quote Originally Posted by mahefo View Post
    When we expand maclaurin series for function y = ln(1+x) then we need the condition -1 < x \le 1. Why???
    Pl help me. Thanks so much.
    First get the series. Then use the ratio test to find the interval of convergence of the series.
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  3. #3
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    Actually, root test is faster, but it'd yield the same interval of convergence.
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  4. #4
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    Yes, i understand. But why in the proof of Taylor series (or Maclaurin series) we don't need any conditions for x and f(x)?
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    Quote Originally Posted by mahefo View Post
    Yes, i understand. But why in the proof of Taylor series (or Maclaurin series) we don't need any conditions for x and f(x)?
    I think you'll find most statements of the Taylor Series do include something about convergence. See for example Taylor series - Wikipedia, the free encyclopedia
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