The difference \(\log (2)-\displaystyle \sum_{n=1}^{100} \frac{1}{2^n \cdot n} \) is

1
less than 0
2
greater than 1
3
less than \(\frac{1}{2^{100} \cdot 101}\)
4
greater than \(\frac{1}{2^{100} \cdot 101}\)
5
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