MathDB
Miklos Schweitzer 1950_1

Source: second part of 1950

October 2, 2008
real analysisreal analysis unsolved

Problem Statement

Let a>0 a>0, d>0 d>0 and put f(x)\equal{}\frac{1}{a}\plus{}\frac{x}{a(a\plus{}d)}\plus{}\cdots\plus{}\frac{x^n}{a(a\plus{}d)\cdots(a\plus{}nd)}\plus{}\cdots Give a closed form for f(x) f(x).