- #1
cragar
- 2,552
- 3
Homework Statement
Show that if [itex] x_n [/itex] is a convergent sequence, then the sequence given by that average values also converges to the same limit.
[itex] y_n=\frac{x_1+x_2+x_3+...x_n}{n} [/itex]
The Attempt at a Solution
Should I say that [itex] x_n [/itex] converges to some number P. so now I need to show that
[itex] y_n [/itex] converges to P as well.
Do I need to show that [itex] y_n-P< \epsilon [/itex]