推 Potervens :z-6-3-1-1 09/11 02:50
Let {b_k} be a real sequence and bεＲ
(a) Suppose that there is an NεＮ (N belong to natural number)
such that |b－b_k|≦M for all k≧N.
Prove that | n | N | |
| nb－Σb_k |≦ Σ | b_k－b | ＋M(n－N)
| k=1 | k=1| |
for all n≧N.
(b) Prove that if b_k→b as k→∞, then
b_1＋b_2＋....b_n
______________________→b as n→∞
n
a小題沒問題,不過b小題想不太出來跟怎麼證,煩請板上大大幫個忙,感恩....^^
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