2016华南理工大学考研真题625_数学分析.pdf
625uHn2016ca )3K7LK8;:, A, O, VnO, $31. (12) 4limx!0+vuut1x +s1x +r1x vuut1x s1x +r1x:2. (12)(a;b, f(x) =8:1x(1 cosax); x 03( 1;+1)S?, .3. (12)O4limn!1 1n npn(n+ 1)(n+ 2) (2n 1):4. (12)?y =8:(x2 +y2)sin 1px2 +y2; x2 +y26= 0;0; x2 +y2 = 03(0;0)?Y 3, 3:(0;0)?Y, f(x;y)3:(0;0)?.9. (13) (1) arctanxm?, .(2) |(1)y= 4 43 + 45 + ( 1)n 42n+ 1 + :(3) |(2)CqO , I, L10 m(mg,).12 10. (13) 3,4/DSPy =Qx:yu(x;y) =Z xx0P(x;y)dx+Z yy0Q(x0;y)dy+CPdx+Qdy, C = u(x0;y0).11. (13)Oex2a2 +y2b2 +z2c22= x2a2 +y2b2N.12. (13)k, Lx2 +xy+y2 = r2, _. I(r) =ILxdy ydx(x2 +y2)k: limr!+1I(r):13