Miklos Schweitzer 1950_9
Source: first round of 1950
October 2, 2008
calculusreal analysisreal analysis unsolved
Problem Statement
Find the sum of the series
x\plus{}\frac{x^3}{1\cdot 3}\plus{}\frac{x^5}{1\cdot 3\cdot 5}\plus{}\cdots\plus{}\frac{x^{2n\plus{}1}}{1\cdot 3\cdot 5\cdot \cdots \cdot (2n\plus{}1)}\plus{}\cdots