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5.3.6 Study Project: The harmonic sequence and series 1 Barbara A. Shipman, Active Learning Materials for a First Course in Real Analysis
 

Summary: 
5.3.6 Study Project: The harmonic sequence and series 1
Barbara A. Shipman, Active Learning Materials for a First Course in Real Analysis
www.uta.edu/faculty/shipman/analysis. Supported in part by NSF grant DUE-0837810

Study Project: The harmonic sequence and series

The infinite sum


n=1
1
n , known as the harmonic series, is a classic example of a series that diverges
to infinity; its divergence is proved in practically all textbooks on Calculus or Analysis.


1. Two sequences and a series

Given an infinite series

  

Source: Ambartsoumian, Gaik - Department of Mathematics, University of Texas at Arlington

 

Collections: Mathematics