作者GayerDior ( 未通过身分认证)
看板trans_math
标题Re: [微分] 台联大95第一题
时间Sat Feb 24 00:21:08 2007
※ 引述《handsamjoy (真*乡民无双)》之铭言：
9x-3sin3x
------------
f(x)= 5x^3 ,x不等於0
a ,x=0
If the function f is continous on the entire real line Then a=?????
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
∵f is continous on the entire real line
9x-3sin3x 3 3x-sin3x 3 3-3cos3x
lim ------------ = --- lim ---------- = ---lim --------
∴ x->0 5x^3 5 x->0 x^3 5 x->0 3x^2
3 lim 1 - cos3x 27
= --- x->0 ----------- = ---- = f(0) = a
5 x^2 10
^^^^^^^^^^^^^^^^^^
--
▅▃
_
○ ◣" ◤
~◤ ▊
■υ◣...
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 61.229.148.50