今天考完了
我把我記得的PO上來
不知道大家順不順利@@
1. dx
(a)∫─────
x^2+2x+3
(b)∫x^2cosx dx
dx
(c)∫──────
x^3-2x^2-x+2
2.
(a)
sinx+4x^3+5e^x+2e^2x
lim ─────────────
x→∞ cosx+x^3+e^x+e^2x
cotx
(b)lim ─────────
x→π/2 π-2x
3.
∞ 1 1
Σ (n+1.5)^k ﹝──── - ─────﹞ find contrait k, and let it converge
n=1 n(n-1) n(n+1)
(這題怪怪的QQ，n好像要從2開始)
4.
y'(x) = 2+e^-│x│+e^(x^2) y(0)=0
(a) lim ﹝y(x+2)-y(x)﹞
x→∞
(b) lim﹝y(x)+y(-x)﹞
x→∞
5. x^2+2(x+y)^2+(5/2)(z+4)^2 <1 find its volume
6. x^2+4^y≦1 找f(x,y)=e^(-xy)的極值