3

Part of 2001 IMC

Problems(2)

limit - I have no idea how to come up with the idea...

Source: IMC 2001 day 1 problem 3

\lim_{t\rightarrow 1^-} (1-t) \sum_{n=1}^{\infty}\frac{t^n}{1+t^n}

limitPutnamintegrationreal analysisreal analysis unsolved

IMC 2001 Problem 9

Source: IMC 2001 Day 2 Problem 3

Find the maximum number of points on a sphere of radius

1

\mathbb{R}^n

such that the distance between any two of these points is strictly greater than

\sqrt{2}

geometry3D geometrysphere