Counterexample to Leibniz criterion for alternating series – math.stackexchange.com

I have this statement and I need to say if it is true or false: Let $\{a_n\}$ be a real sequence. $$\lim_{n\to +\infty} a_n = 0 \quad \implies \quad \sum_{n=1}^{\infty}(-1)^na_n \quad \text{...

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