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Infinite Serieshard
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The series ∑n=1∞1n4\sum_{n=1}^{\infty} \frac{1}{n^4}∑n=1∞​n41​ converges. If S=∑n=1∞1n4S = \sum_{n=1}^{\infty} \frac{1}{n^4}S=∑n=1∞​n41​ and S3=1+116+181S_3 = 1 + \frac{1}{16} + \frac{1}{81}S3​=1+161​+811​, which statement provides a valid upper bound for ∣S−S3∣|S - S_3|∣S−S3​∣?