0.9999.... = 1.0

[ebw]

Conegamer said:
This is great! More Maths!

But I thought what Jay said was a known truth. So why the arguments?

Now if you want difficulty, try explaining how any irrational number contains every possible ordering of numbers (so in JPEG form every single picture that has, and will, ever be taken), how ever snowflake is unique or how a fractal has an infinite perimeter but a finite area...

This is not true for every irrational number, it is very simple to write down irrational numbers that do not contain any instance of the digit '5'.  However the vast majority (in the sense of Lebesgue measure) of real numbers are normal, meaning that they contain every finite string of digits with the same asymptotic frequency as a uniformly random distribution.

In addition I forgot to mention that with compound interest, you will never get more than e times the amount you started off with, proving Futurama to be invalid.

Utterly false, sloppy reasoning.  You're just thinking the limit of compounding on decreasing time scales which converges to continuous compounding.  If you really think this is true, won't you let me loan you a penny with 0.1% interest per second compounded?

The Futuruma writers have way stronger math backgrounds than the vast majority of the people in this thread, not that they were being serious all the time...This thread is almost as depressing (in terms of demonstrating the failure of education) as those pseudomath posts on Facebook which get 100 wrong answers for every right one.