MathDB

Putnam 1986 B4

Source:

August 5, 2019

Putnam

Problem Statement

For a positive real number

r

, let

G(r)

be the minimum value of

|r - \sqrt{m^2+2n^2}|

for all integers

m

and

n

. Prove or disprove the assertion that

\lim_{r\to \infty}G(r)

exists and equals

0.