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Question Number 93782 by  M±th+et+s last updated on 14/May/20
find (a/b)  a=Σ_(k=1) ^∞ (1/( (√(2k))))  b=Σ_(k=0) ^∞ (1/( (√(2k+1))))
$${find}\:\frac{{a}}{{b}} \\ $$$${a}=\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}{k}}} \\ $$$${b}=\underset{{k}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}{k}+\mathrm{1}}} \\ $$$$ \\ $$

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