Question

\[(a_{n}) \] a sequence \[ \in \mathbb{R}\]. if \[(a_{n}) \] converts to Null, so \[((-1)^{n}.a_{n})\] converges to Null too. TRUE OR FALSE ?

Answer 1

oh, a_n converges to null

(-1)^n a_n means flipping the sign of every alternate term

Answer 2

so, the series itself changes, so it will no longer converge to null

Answer 3

that means the answer is FALSE right ?

Answer 4

yes, its false

Answer 5

thx very much

Answer 6

welcome :)