=+1.7. The Riemanns -function is defined as the infinite series (x) = n=1 1 nx .

=+1.7. The Riemann’s ζ-function is defined as the infinite series

ζ(x) = ∞

n=1 1

nx .

(a) Show that ζ(x) is uniformly convergent for x ∈ [a, ∞), where a is any number greater than 1.