※ 引述《fly81713 (JOHNSON)》之銘言：
: 1. let g(x) = (x^3 + x + 3)^15 , if g(x) = (x+1)^2q(x) + r(x)
: where r(x) = ax+b , a,b are constants, a+b = ?
: x+a x
: 2. lim (-------) = e , a = ?
: x->oo x-a
: 我覺得 a=1/2 ,對嗎?
x + a 2a
------- = 1 + --------- , 當 x ≠ a
x - a x - a
令 v = x - a , v → ∞ 當 x → ∞
當 x > a 時 ,
x + a 2a
( --------- )^x = ( 1 + ----- )^( v + a ) → e^(2a)
x - a v
1
所以 a = -----
2
: 3. for what value of c is there a straight line that intersects the curve
: y = x^4 + cx^3 + 12x^2 - 5x + 2
: in four distincts points?
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