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Math Help - Use Alternating Series Test

  1. #1
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    The Absolute Convergence Test

    The absolute convergence test states,
    If Summation Notation (n=1 to n=infinity) abs(An) converges, then summation notation (n=1 to infinity) An converges.

    So if abs (An) converges, does An converges absolutely? or should I check again for absolute convergent?
    Last edited by iyoo; April 24th 2010 at 05:15 PM.
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  2. #2
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    Quote Originally Posted by iyoo View Post
    The absolute convergence test states,
    If Summation Notation (n=1 to n=infinity) abs(An) converges, then summation notation (n=1 to infinity) An converges.

    So if abs (An) converges, does An converges absolutely? or should I check again for absolute convergent?

    If Abs(A_n) converges (absolutely) and then it converges (without the "absolutely" and without the absolute value).

    Tonio
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  3. #3
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    Quote Originally Posted by iyoo View Post
    The absolute convergence test states,
    If Summation Notation (n=1 to n=infinity) abs(An) converges, then summation notation (n=1 to infinity) An converges.

    So if abs (An) converges, does An converges absolutely? or should I check again for absolute convergent?
    "\sum |A_n| converges" is exactly what "absolute convergence" means!
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