作者LuisSantos ( )
看板trans_math
标题Re: [极限]想问几题题目
时间Mon Jun 16 12:11:18 2008
※ 引述《osirisobelis (osirisNNN )》之铭言:
: 1.use the limit comparison test to determine convergence or divergence?
: ∞
: Σ √2n-1/n^2 想请问有根号时要怎处理?
: n=1
(√(2n-1))/(n^2)
lim ----------------
n→∞ 1/n
√(2n-1)
= lim --------
n→∞ n
√(2 - (1/n))
= lim ------------- = 2 ≠ 0
n→∞ 1
∞ 1 ∞ √(2n-1)
Since Σ --- diverges , Σ -------- diverges by limit comparison test
n=1 n n=1 n^2
: 2.change the following from cylindrical to cartesian coordinates
: (6,pi/6,-2)
: 3.find the slope of the tangent to the curve of intersection of intersection
: of the surface 36z=4x^2+9y^2 and the plane x=3 at the point (3,2,2)
: 烦请解惑
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 140.119.29.64
1F:推 Dazaiosamu:极限那边是不是有除错啊@@ 220.131.165.54 06/16 15:49
2F:推 smallolay:进去根号要平方八 118.170.105.66 06/17 00:18