I'm searching for a sequence that diverges as such
$(a_n)_{n\in\mathbb{N}}$
but if inserted in
$(\frac{1}{n} \sum\limits_{j=1}^n a_j)_{n\in\mathbb{N}}$
it converges.
2026-02-23 15:53:06.1771861986
Divergent sequence $(a_n)_{n\in\mathbb{N}}$ such that $(\frac{1}{n} \sum\limits_{j=1}^n a_j)_{n\in\mathbb{N}}$ converges?
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Hint: Try the sequence $a_n=(-1)^n$.