Which of the following statements is (are) correct for
A) The series converges since the partial sums are zero.
B) The series converges since the partial sums are 1 and 0.
C) The series diverges since the partial sums are 1 and 0.
D) The series diverges since the general term does not tend to zero.
E) Answers C and D are correct.

Question

Which of the following statements is (are) correct for 
A) The series converges since the partial sums are zero. 
B) The series converges since the partial sums are 1 and 0. 
C) The series diverges since the partial sums are 1 and 0. 
D) The series diverges since the general term does not tend to zero. 
E) Answers C and D are correct.

Quizplus · Accepted Answer

Since the partial sums alternate between 1 and 0, the series does not converge to a single value and thus diverges. Additionally, the general term does not tend to zero, which is a necessary condition for convergence.

Which of the Following Statements Is (Are) Correct for