Question

If the sequence|{An}| converges, does {An} converge?If the sequence|{An}| converges, does {An} converge?@Mathematics

Answer 1

(the first An is in absolute value)

Answer 2

So, are you asking the inverse of the test for absolute convergence... or something?

Answer 3

\[\sum A_n\]
is absolutely convergent iff
\[\sum |A_n| < \infty\]

Answer 4

no not series, the sequence An