The domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values
How to determine the domain?
The sum notation is given as:
[tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex]
From the above notation, the smallest value of n is 1.
This means that the variable x can take any real value as it value
Hence, the domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values
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