幾題

[dreamenjoy (今天也很爽)]

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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推 nosignal90:我最近也寫了這間的考古題說XD...
→ dreamenjoy:真巧