Friday, August 24, 2018

Convergence of a sequence (possibly Riemann sum)

Let a1,a2,a3,...,an be the sequence defined by
an=2nnk=11k=2n1112...1n




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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