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PEN G Problems
27
27
Part of
PEN G Problems
Problems
(1)
G 27
Source:
5/25/2007
Let
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1<a_{1}<a_{2}<\cdots
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be a sequence of positive integers. Show that
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\frac{2^{a_{1}}}{{a_{1}}!}+\frac{2^{a_{2}}}{{a_{2}}!}+\frac{2^{a_{3}}}{{a_{3}}!}+\cdots
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is irrational.
limit
calculus
function
derivative
integration
Irrational numbers