※ 引述《handsamjoy (真*鄉民無雙)》之銘言：
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
^^^^^^^^^^^^^^^^^^
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