Question

Which of the following statements is true for the series the summation from k=1 to infinity of the sin(k)/k^2? (10 points)

A) The series converges conditionally but not absolutely.
B) The series is divergent.
C) The series cannot be tested because it does not start at k = 0.
D) The series converges absolutely.

Answer 1

A 1/k^2 converges, and |sin(k)| < 1, so ...