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Homework Statement
I have to find a natural number N that satisfies this equation:
[itex]\sum^{N}_{i=1} \frac{1}{i} > 100 [/itex]
Homework Equations
I tried finding a close form of the sum but couldn't find anything useful.
The Attempt at a Solution
Well after trying some numbers in maple I found a few very large numbers satisfying the inequality.
Any hints are much appreciated.