MathDB

11.4

Part of 2010 Moldova National Olympiad

Problems(1)

Limit of sum of inverse of squres

Source: Moldova NMO 2010 problem 4

4/14/2010
Let a_n\equal{}1\plus{}\dfrac1{2^2}\plus{}\dfrac1{3^2}\plus{}\cdots\plus{}\dfrac1{n^2} Find lim⁡n→∞an \lim_{n\to\infty}a_n
limittrigonometrynumber theory unsolvednumber theory