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The Riemann zeta function for real numbers is defined for all x for which the series ζ(x) = ∑_(n=1)^[infinity] n^-x converges. Find the domain of the function. (Enter your answer using interval notation.)

Respuesta :

batolisis

Answer:

The domain of the function using the interval notation is

written as the missing term

Step-by-step explanation:

Attached is the detailed solution

uniform convergence of sum over n,i, just is the infinite geometrical series with  n = 0

note : when X ≤ THIS SUM DIVERGES

           for X > 1  ( relation between Zeta functions and Gamma function the sum is  convergent

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