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∞ Σ for convergence, you can use the P-test. (You could also use the Integral Test, as k5 k=1 is the case with all series of this type.) According to the P-test: To test the series O ∞ k=1 k=1 1 k5 the P-test does not apply to S3 = converges k5 diverges ∞ 1 k5 k=1 Now compute s3, the partial sum consisting of the first 3 terms of 8 ] k=1 k5 :
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