"Infinitely repeating decimals may not exit, they may terminate somewhere down the line but we can never tell."
I've heard it claimed that numbers that pi or e may terminate eventually and that there is no way of knowing.
Is there no mathematical way to show that a nonrational nonterminating decimal will have infinitely many digits and that it cannot possibly ever terminate?
Do we only proclaim pi to be nonterminating because we've "never reached the final decimal place?" That can't be, can it?
