- #1
raphael3d
- 45
- 0
proof with the definition of the limit the following assertion: if a_n is a zero sequence, so is b_n with b_n = (1/n)* sum{a_j} [from j=1 to n].
at first glance it seems trivial to me, since 1/n is a zero sequence so is b_n but apparently this doesn't satisfy the implication so how can i show that if a_n is a zero sequence, so b_n?
at first glance it seems trivial to me, since 1/n is a zero sequence so is b_n but apparently this doesn't satisfy the implication so how can i show that if a_n is a zero sequence, so b_n?