Talk:Dirichlet's Test for Uniform Convergence

See MathStackExchange The main idea of the proof is to use the so-called Abel summation trick or summation by parts. The ProofWiki page gives our penultimate estimate. However, phrasing it the way it is done there seems rather misleading to me, so I wouldn't have understood that proof either if I hadn't known about the Abel summation trick beforehand.