You are here

Simple Proofs for \(\sum_{k=1}^{\infty} \frac{1}{k^2} = \frac{π^2}{6}\) and \(\sin x = x \prod_{k=1}^{\infty}(1 - \frac{x^2}{k^2\pi^2})\)

Two of Euler's familiar identities, the sum of reciprocals of squares of integers and the infinite product expression of sine function, are proved again.

Old Node ID: 
2863
Author(s): 
R. A. Kortram
Publication Date: 
Saturday, September 6, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
April, 1996
Subject(s): 
Single Variable Calculus
Series
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
64.00
Rating Sum: 
199.00
Rating Average: 
3.11
Author (old format): 
R. A. Kortram
Applicable Course(s): 
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Monday, May 3, 2010
Average: 3.1 (64 votes)

Dummy View - NOT TO BE DELETED