- #1
SiddharthM
- 176
- 0
Cantor set defined via sums, whaaaaa?!?
problem 19 chapter 3 of Rudin. I'm totally lost, I've even done a project on the Cantor set before but I just don't know where to start here.
Associate to each sequence a=(p_n) in which p_n is either 0 or 2, the real number
x(a) = sum from 1 to infinity of (p_n)/(3^n).
Prove that the set of all x(a) is the cantor middle-thirds set.
Cheerio
problem 19 chapter 3 of Rudin. I'm totally lost, I've even done a project on the Cantor set before but I just don't know where to start here.
Associate to each sequence a=(p_n) in which p_n is either 0 or 2, the real number
x(a) = sum from 1 to infinity of (p_n)/(3^n).
Prove that the set of all x(a) is the cantor middle-thirds set.
Cheerio