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lim sup and lim inf of sequence of sets.
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convergence of $\sum \limits_{n=1}^{\infty }\bigl\{ \frac {1\cdot3 \cdots (2n1)} {2\cdot 4\cdots (2n)}\cdot \frac {4n+3} {2n+2}\bigr\} ^{2}$
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what is Prime Gaps relationship with number 6?
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Trying to show $1\frac12 \frac {1} {4}+\frac {1} {3}\frac {1} {6}\frac {1} {8}+\frac {1} {5}\cdots =\frac {1} {2}\log 2$
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