Thread: convergence of cesaro averages

if the sequence {an} converges to a , and if we have a sequence defined as

Sn = a1+a2+....+an / n

then Sn also converges to a.

how is that possible? isnt it supposed to be converged to 0?

Try to set...

with (1)

... the compute as a function of the and finally 'push' n to infinity...

Kind regards