[分析] 初微(15)
Suppose that h > 0 and f' exists and is finite for every x
in (a-h,a+h). Also suppose that f is continuous on [a-h,a+h].
If f"(a) exists, show that the limit
f(a+h) - 2f(a) + f(a-h)
lim ------------------------- = f"(a)
h→0 h^2
Note: 請順便給一個反例 f(x), 使得左邊的極限式存在, 但 f" 不存在.
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.112.218.142
討論串 (同標題文章)
以下文章回應了本文：
完整討論串 (本文為第 1 之 2 篇)：