Problem 37 (1959 AHSME)
AHSMEMedium
From module Telescoping Sums and Products
Problem
When simplified, the product (1 - 1/2²)(1 - 1/3²)(1 - 1/4²)···(1 - 1/n²) becomes:
From module Telescoping Sums and Products
When simplified, the product (1 - 1/2²)(1 - 1/3²)(1 - 1/4²)···(1 - 1/n²) becomes: