Hi I need an example of the sequence described in the title any help? Thanks
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Originally Posted by binkypoo Hi I need an example of the sequence described in the title any help? Thanks $\displaystyle a_n=\ln n.$
Let $\displaystyle x_n= \sum_{k= 1}^n \frac{1}{k}$. Then $\displaystyle x_{n+1}- x_n= \frac{1}{n+1}$ which goes to 0 but sequence is the partial sums for the harmonic series which does not converge.
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