Reciprocal of Riemann zeta and the Möbius sum plotted

(*start*)
sigma = 3/4
Plot[Re[1/(1 -
     Sum[(-1)^(n + 1)*(Zeta[N[sigma] + I*t] - 1)^n, {n, 1,
       100}])], {t, 0, 60}, PlotRange -> {-1, 4}]
Plot[Re[1/Sum[MoebiusMu[n]/n^(N[sigma] + I*t), {n, 1, 1000}]], {t, 0,
  60}, PlotRange -> {-1, 4}, PlotStyle -> Red]
Show[%%, %]
(*end*)