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Math Help - approximation of sum of Alternating series

  1. #1
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    approximation of sum of Alternating series

    someone please explain how to find the smallest integer n, that ensures that the partial sum s_n approximates the sum s of the series with error less than 0.001 in absolute value.

    summation from 0 to infinity {(-1)^n/(sn)!}
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ramzouzy View Post
    someone please explain how to find the smallest integer n, that ensures that the partial sum s_n approximates the sum s of the series with error less than 0.001 in absolute value.

    summation from 0 to infinity {(-1)^n/(sn)!}
    You are asking about the error in the partial sums of:

    S=\sum_0^{\infty} \frac{(-1)^n}{(sn)!}

    The problem is that it is not clear what the sn is supposed to be.

    Could you provide some more detail.

    RonL
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