CS计算机代考程序代写 `2

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K8 1. ‰eÍë?ͬÒ5ø`2nd: (1)an =n!arctg􏰁2􏰂n;
􏰃3n+1􏰄nn (2)an= 2n+3 .
K8 2. ‰oÍ
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3e ́m ̨òó¬Ò5ø`2nd: (1) E1 =[δ0,+∞),Ÿ•0<δ0 <1; (2) E2 = [0, +∞). K8 3. ÚeoÍ–mèç1⁄2?Í: (1) Ú arctgx 3 x = 0 ?–mè Taylor ?Í; (2) Ú f(x) = signx,−π ≤ x ≤ π –mè Fourier ?Í. K84. â1⁄2oÍf(x,y)=(xy−1)2 +y2. (1) ¶ f (x, y) 3 R2 ̨§k.:, ø‰= ¥4ä:; (2)¶f(x,y)3 ±S:={(x,y)∈R2|x2+y2=1} ̨Ååä⁄Åä. K8 5. ä‚TM O黩 K8 6. Oé n ë•° L°». K8 7. Oé 3 n → +∞ ûÏCÃë. fn(x) = 4n nx 3+4n2x ˆ +∞ sinx ˆ +∞ ˆ +∞ x dx= sinxdx 000 ˆ +∞ sinxdx. 0x e−xydy n+1 Sn = {(x1, ..., xn+1) ∈ Rn+1| 􏰅(xi)2 = 1} i=1 ˆ +∞ (1 + t)ne−ntdt 0 1