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Comparing Two Sequences

I was recently shown that the integer sequences \(\lfloor\frac{2n}{\ln 2}\rfloor\) and \(\lceil\frac{2}{2^{1/n}-1}\rceil\) agree for a very large number of terms.

Can you show analytically that one of these must eventually surpass the other?

Note by Eric Edwards
4 years, 2 months ago

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