How do you deal with weird series
Let S be the set of all real numbers of the form
a1/3 + a2/3^2 + a3/3^3 + .... where a_i \in {0, 1, 2} for all i.
(a) Is the number 1/7 in the set S?
(b) Is the number 1/4 in the set S?
