《考研真题解析》数学分析.pdf

625uHn2016ca )3K ? ?7LK?8;:,A,O,VnO,$?31. (12)4limx0+?vuut1x+s1x+r1xvuut1xs1x+r1x?.2. (12)(a,b?,f(x) =1x(1 cosax),x 03(,+)S?,?.3. (12)O4limn1nnpn(n + 1)(n + 2)(2n 1).4. (12)?y =sinx,?xkn,0,?xn?Y5,m:a.115. (12)?a,b,?Z10 xa1(1 x)b1dx?5.6. (12)y?Xn=0?13n + 1+13n + 213n + 3?u?.7. (13)?f(x)30,1Y,ylimnnZ10 xnf(x)dx = f(1).8. (13)yf(x,y) =(x2+ y2)sin1px2+ 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)n42n + 1+ .(3)|(2)?CqO?,I?,?L10m(mg,).1210. (13)?3,4/DSPy=Qx.yu(x,y) =Zxx0P(x,y)dx +Zyy0Q(x0,y)dy + CPdx + Qdy?,C = u(x0,y0).11. (13)Oe?-?x2a2+y2b2+z2c2?2=x2a2+y2b2?N.12. (13)?k, L-x2+ xy + y2= r2,_?.I(r) =ILxdy ydx(x2+ y2)k.limr+I(r).13