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Undergraduate contests
Putnam
1997 Putnam
3
Putnam 1997 A3
Putnam 1997 A3
Source:
May 30, 2014
Putnam
integration
calculus
induction
college contests
Problem Statement
Evaluate the following :
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\int_{0}^{\infty}\left(x-\frac{x^3}{2}+\frac{x^5}{2\cdot 4}-\frac{x^7}{2\cdot 4\cdot 6}+\cdots \right)\;\left(1+\frac{x^2}{2^2}+\frac{x^4}{2^2\cdot 4^2}+\frac{x^6}{2^2\cdot 4^2\cdot 6^2}+\cdots \right)\,\mathrm{d}x
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