- #1
XJellieBX
- 40
- 0
Find a simplifying expression for the product
(1-[tex]1/2^{2}[/tex])(1-[tex]1/3^{2}[/tex])...(1-[tex]1/n^{2}[/tex])
and verify its validity for all integers n [tex]\geq[/tex] 2
I know how to do the second part of the question, but no idea how to approach the simplifying of the expression. Any tips?
(1-[tex]1/2^{2}[/tex])(1-[tex]1/3^{2}[/tex])...(1-[tex]1/n^{2}[/tex])
and verify its validity for all integers n [tex]\geq[/tex] 2
I know how to do the second part of the question, but no idea how to approach the simplifying of the expression. Any tips?