Measure, Integration & Real Analysis · Problem 2E.2

Integration — Sheldon Axler

Mathematics — Measure Theory · pointwise-not-uniform-convergence

Problem

Give an example of a sequence of functions from

\mathbf{Z}^+

\mathbf{R}

that converges pointwise on

\mathbf{Z}^+

but does not converge uniformly on

\mathbf{Z}^+