Single Variable Calculus

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Absolute Convergence and Conditional Convergence I

SVCALC-VU3IJY

Which of the following statements are TRUE?

Select ALL that may apply.

A

If $\sum a_n$ converges, then $\sum |a_n|$ converges.

B

If $\sum |a_n|$ converges then $\sum a_n$ converges.

C

If $\sum a_n$ diverges then $\sum |a_n|$ diverges.

D

If $\sum |a_n|$ diverges then $\sum a_n$ diverges.