f[x_] :=  1/(Floor[x]*Log[Floor[x]]^2)

g[x_]  :=  1/(x Log[x]^2)

h[x_]  :=  g[x - 1]

Plot[{g[x], f[x], h[x]}, {x, 3, 10}, AspectRatio -> 1]

\(Bounding\ the\ partial\ sums\ for\ \(∑\+\(n = 3\)\%∞ 1\/\(n \((log\ n)\)^k\)\ above\ and\)\)
\(below\ with\ the\ areas\ under\ graphs\ of\ smooth\ functions . \ 
\(Case : \ k\) = 2. \)