- #1
spitz
- 60
- 0
Homework Statement
I have two numbers: 509/729 and 511/729. I want to determine if they are in the Cantor set.
The Attempt at a Solution
I have:
509/729 in base 3 is: 0.200212
So this is not part of the cantor set because it can't be expanded in base 3 using only 0 and 2.
---------------------
511/729 in base 3 is: 0.200221
For this one, am I correct in saying that 0.200221 = 0.200220222...
So, it can be expanded using only 0 and 2, and so is part of the cantor set?