On the Euler series

• Main Author: Uy, Philip B.
• Format: text
• Language: English
• Published: Animo Repository 1994
• Subjects: Euler products; Series, Geometric; Equations > Numerical solutions; Harmonic functions; Partial sums (Series)
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16183
• Institution: De La Salle University

This study presents three different proofs that the Euler series converges to n26. These are the following: 00 n=1 1 n21) Euler's proof 2) proof using trigonometry and algebra, and 3) proof involving real integral with an imaginary value. The researcher also gives initial steps to his own...