Re: [極限]想問幾題題目
※ 引述《osirisobelis (osirisNNN )》之銘言：
: 1.use the limit comparison test to determine convergence or divergence?
: ∞
: Σ √2n-1/n^2 想請問有根號時要怎處理?
: 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)
: 煩請解惑
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