jokesrfunny
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N < Q < R
Furthermore you can turn the whole proof around an prove there is more whole numbers than decimal numbers between 0 and 1.
okay, isn't there some kind of infinite series that always converges to some sort of function.
like Fourier series, aren't they "one to one" with periodic functions. if you write the funtions on the left and their Fourier series on the right you can construct a series that does not correspond to a periodic function.
You're definitely misunderstanding the concept of that proof. Not sure what you're trying to say about power series, so I can't help with that.
about infinite series its hard to explain with no way to visualize, so ill give it a rest.