Mathematics

Mathematics

Problem

Determine the behavior of the series ∑n=1∞3n5/4\displaystyle \sum_{n=1}^{\infty}\frac{3}{n^{5/4}}. a) The series diverges because the constant numerator prevents the terms from decreasing rapidly. b) The series converges only conditionally, not absolutely. c) The series converges because its exponent exceeds 11. d) The series diverges because its exponent is less than 11.

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