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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
3 years, 12 months ago