MathDB

Denote by

B(c,r)

the open disk of center

c

and radius

r

in the plane. Decide whether there exists a sequence

\{z_n\}^\infty_{n=1}

of points in

\mathbb R^2

such that the open disks

B(z_n,1/n)

are pairwise disjoint and the sequence

\{z_n\}^\infty_{n=1}

is convergent.

Problem Statement