Relax, It Still Converges

SummaryIn this paper, we study some properties regarding a class of alternating series ∑(−1)nbn, where the absolute value of the terms bn converge to a positive limit. We repair a theorem in [Citation1] by considering additional conditions to guarantee the existence of two distinct limit points. We show that the harmonic series arranged in alternating Fibonacci-length blocks satisfies these conditions and thus possesses two limit points, and suggest other related explorations.