Science:Math Exam Resources/Courses/MATH101/April 2015/Question 02 (c) (iii)/Statement

For each of the following series, choose the appropriate statement. (Write the appropriate two-letter answer in each box; each answer will be used at most once.)

CI: Converges by Integral Test with $\int _{1}^{\infty }{\frac {\ln x}{x}}dx$

CT: Converges by Test for Divergence

CC: Converges by Comparison Test with $\sum _{n=1}^{\infty }{\frac {1}{n^{3}}}$

CA: Converges by Alternating Series Test

CL: Converges by Limit Comparison Test with $\sum _{n=1}^{\infty }{\frac {1}{n^{2}}}$

DI: Diverges by Integral Test with $\int _{1}^{\infty }{\frac {\ln x}{x}}dx$

DT: Diverges by Test for Divergence

DC: Diverges by Comparison Test with $\sum _{n=1}^{\infty }{\frac {1}{\sqrt {n}}}$

DA: Diverges by Alternating Series Test

DL: Diverges by Limit Comparison Test with $\sum _{n=1}^{\infty }{\frac {\pi }{n^{2}}}$

(iii) $\sum _{n=1}^{\infty }(-1)^{n}n$