→ ilway25 :怎麼證明兩式相除是泰勒展開式而不是其他的逼近式呢 05/02 20:17
If there are two different power series P(x), Q(x) approaching to f(x)
then |P(x)-Q(x)| <= |P(x)-f(x)| + |Q(x)-f(x)|→0
hence P(u)-Q(u)=0 for ALL u in the convergent interval
then P(x)=Q(x)
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 27.147.57.77
→ yueayase :f(x) = Σan x^n = Σ bn x^n => n!an = n!bn 05/03 01:16
→ yueayase :=f的n階導數代x=0 => an = bn好像就可以了?? 05/03 01:17