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## Main Question or Discussion Point

I came across this in a book I am reading.

Let f(x) be equal to the nth decimal place digit of x (for our consideration lets say the 100th).

Is this a function? Is there any special name for it, or is it famous?

Is it continuous? Is it differentiable?

Let f(x) be equal to the nth decimal place digit of x (for our consideration lets say the 100th).

Is this a function? Is there any special name for it, or is it famous?

Is it continuous? Is it differentiable?