MathDB

B2

Part of 2008 Putnam

Problems(1)

Putnam 2008 B2

Source:

12/8/2008
Let F_0\equal{}\ln x. For n≥0 n\ge 0 and x>0, x>0, let \displaystyle F_{n\plus{}1}(x)\equal{}\int_0^xF_n(t)\,dt. Evaluate lim⁡n→∞n!Fn(1)ln⁡n. \displaystyle\lim_{n\to\infty}\frac{n!F_n(1)}{\ln n}.
PutnamlogarithmsintegrationlimitcalculusfactorialSupport