for the sequence {x_{n}} of independent and uniformly bounded r.v's, both WLLN and CLT holds provided
Var(x_{1}+x_{2}+...+x_{n}} --> ? as n--> infinite.
please give the answer.
in my book, Var(x_{1}+x_{2}+...+x_{n}} --> infinite as n--> infinite, but i think Var(x_{1}+x_{2}+...+x_{n}} --> 0 as n--> infinite. thanks.