Consider the convergent alternating series If n = 4, then Sn = (-1)" = L. Let S₁, be the nth partial sum of this series. Compute S, and Sn+1 and use these values to find bounds on the sum of the series. n! and Sn+1: This interval estimate for the value of the series has error |Sn - L| < I and therefore < (-1)" n! 8.

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