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(a) Approximate the sum of the series Σ1/n9 by using the first 5 terms. Estimate the error involved in this approximation. (b) How many terms are required to ensure that the sum is accurate to within 0.0005? SOLUTION In both parts (a) and (b) we need to know f(x)dx. With f(x) = 1/x9, which satisfies the conditions of the Integral Test, we have
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(a) Approximate the sum of the series Σ1/n9 by using the first 5 terms. Estimate the error involved...
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