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?
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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