Does the series ∑n = 1∞514 n−1 converge or diverge? Give a reason for

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Does the series ∑n = 1∞514 n−1 converge or diverge? Give a reason for your answer. Choose the correct answer below. A. The series converges because it is a p− series with p = 1. B. The series diverges because limn→∞514 n−1 ≠ 0. C. The series converges because the integral ∫N∞514 x−1 dx converges. D. The series diverges because the integral ∫N∞514 x−1 dx diverges.

Does the series ∑n = 1∞514 n−1 converge or diverge? Give a reason for your answer. Choose the correct answer below. A. The series converges because it is a p− series with p = 1. B. The series diverges because limn→∞514 n−1 ≠ 0. C. The series converges because the integral ∫N∞514 x−1 dx converges. D. The series diverges because the integral ∫N∞514 x−1 dx diverges.

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Does the series

\sum_{n = 1}^{\infty} \frac{5}{14 n - 1}

converge or diverge? Give a reason for your answer.

Choose the correct answer below. A. The series converges because it is a

p -

series with

p = 1

. B. The series diverges because

lim_{n \to \infty} \frac{5}{14 n - 1} \neq 0

. C. The series converges because the integral

\int_{N}^{\infty} \frac{5}{14 x - 1} d x

converges. D. The series diverges because the integral

\int_{N}^{\infty} \frac{5}{14 x - 1} d x

diverges.

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