- #1
BWV
- 1,491
- 1,804
##\sum_{n=1}^\infty 1/n^2 ## converges to ##π^2/6##
and every other series with n to a power greater than 1 for n∈ℕ convergesis it known if the sum of all these series - ##\sum_{m=2}^\infty \sum_{n=1}^\infty 1/n^m ## for n∈ℕ converges?
apologies for any notational flaws
and every other series with n to a power greater than 1 for n∈ℕ convergesis it known if the sum of all these series - ##\sum_{m=2}^\infty \sum_{n=1}^\infty 1/n^m ## for n∈ℕ converges?
apologies for any notational flaws