- #1
evinda
Gold Member
MHB
- 3,836
- 0
Hello! (Wave)
How can I show that in the field $\mathbb{Q}_p$ stands the following? (Thinking)
If $\{ a_n \}_{n \in \mathbb{N}}$ a sequence of elements in $\mathbb{Q}_p$ and $\lim_{n \to \infty} a_n=0$, then the series $\sum_{n=1}^{\infty} a_n$ converges.
How can I show that in the field $\mathbb{Q}_p$ stands the following? (Thinking)
If $\{ a_n \}_{n \in \mathbb{N}}$ a sequence of elements in $\mathbb{Q}_p$ and $\lim_{n \to \infty} a_n=0$, then the series $\sum_{n=1}^{\infty} a_n$ converges.