How can I find N s.t.: $\displaystyle 1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{N}>10$ Thanks
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The harmonic series diverges very slowly. By the time you get to a sum of 10, you will have N=12,367
Originally Posted by tunaaa How can I find N s.t.: $\displaystyle 1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{N}>10$ Start by showing that $\displaystyle 1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{N} \geqslant \ln(N+1)$.
Thanks very much
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