幾題
1.Given an ε-δ proof for the limit x^2+3x-2=8
x→2
2.Find a and b such that lim(sinax/x^3+b/x^2)=1/6
x→0
3
3.∫ x^2-4x+3/x^3+2x^2+x dx
1
k
4.Find the interval of convergence of the series (-1) k
Σ ———(x+2)
2 k
k 3
5.f(x.y)= xy(y^2-x^2)/x^2+y^2 , (x,y)≠(0,0) Show that Fxy(0,0)≠Fyx(0,0)
0 , (x,y)≠(0,0)
這題是把XY分別微出來比較就好了是嗎??
2 √4-y^2 √4-x^2-y^2
6. ∫∫ ∫ z√x^2+y^2+z^2 dzdxdy
0 0 0
因為考古題有些沒解答 只好來請教高手了
感恩
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