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Mathematics
Mathematics
Problem
Explain, in one to two sentences, why the harmonic series
∑
n
=
1
∞
1
n
\displaystyle \sum_{n=1}^{\infty} \frac{1}{n}
n
=
1
∑
∞
n
1
diverges even though
lim
n
→
∞
1
n
=
0
\displaystyle \lim_{n\to\infty} \frac{1}{n}=0
n
→
∞
lim
n
1
=
0
.
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