
The Cantor Set
1. Find two numbers that are nonendpoints in the Cantor Set.Use the Ternary expansion of the number to explain how you know the number is in the cantor set and then use calc to find the base 10 fraction representation of the numbers.
Alright, so I'm struggling to understand the first part (the cantor set just flew by my head in lecture). I know that we're taking out the middle third of the segment, leaving the endpoints, and that any decimal with a "1" in it will be taken out(right?). So if that's the case, can I just pick any two repeating decimals that don't have a 1 in them? Such as .020 repeating, (the "20" part repeating) or .02002 repeating.
Also, I have nothing in my notes that tells me how to change a decimal, via calc, from base 3 to base 10. Can anyone help me there?