# Science:Math Exam Resources/Courses/MATH101/April 2017/Question 02 (c) (iv)

MATH101 April 2017
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### Question 02 (c) (iv)

For each of the following series, choose the appropriate statement. (Write N, O, P, S, or T in each box; each answer will be used at most once, and each series matches a single answer only.)

N: The series converges by the Ratio Test.

O: The series converges absolutely by the Comparison Test with a p-series.

P: The series converges by the Alternating Series Test.

S: The series diverges.

T: The series converges by the Integral Test.

(iv) $\sum _{n=1}^{\infty }{\frac {(-1)^{n}\sin n}{n^{3}}}$ .

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