Let a1,a2,a3,...,an be the sequence defined by
an=2√n−n∑k=11√k=2√n−1√1−1√2−...−1√n
show that the sequence an is convergent to some limit L, and that $1
I tried looking at this as a Riemann sum. However, I failed to covert it to that. Any hints on that or alternate solution? Thanks
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