作者SDUM (Roger)
看板trans_math
标题[极限] 王氏
时间Fri Oct 3 11:09:24 2008
sin(x度)
1. lim ------------ = ?
x->0 x
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2. 设函数在下列极限值分别为：
f(x)
lim --------- = 1
x->1 x-1
f(x)
lim --------- = c
x->2 x-2
f(x)
lim --------- = 3
x->3 x-3
试求其次数最低之多项式？又若c=2时则为何？
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3. 若 n属於Ν and y(sub 1)=x^0.5 and y(sub n+1)=[2+y(sub n)]^0.5
(1)试求一般项 y(sub n) = ?
(2) lim y(sub n) = ?
n->∞
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4. 若 |a|<1 则 f(x)=(1+ax)(1+a^2 x)(1+a^3 x)...(1+a^n x)
若f(x)之x^2系数为C(sub n) 则 lim C(sub n) = ?
n->∞
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5. lim (tanx / x)^(1/x) = ?
x->0
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6.F(n) = [(n+1)(n+2)(n+3)...(n+n)]^(1/n)
(1)lim F(n) = ?
n->∞
F(n)
(2) lim ---------- = ?
n->∞ n
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7.设O点为圆心，半径r之半圆(x轴上方部份)与y轴和抛物线 y^2=x 之交点各为P,M
直线PM 和 x轴 之交点为Q，若半圆之半径r无限趋近於0，则求Q点之极限位置。
(．＿．?) (？o？)
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 218.175.76.62
1F：推 Qmmm:2. 设Q(x)=kx(x-1)(x-2)(x-3) 最低4次 202.151.58.170 10/03 12:17
2F：→ Qmmm: c=2时 P(x)=kx^2(x-1)(x-2)(x-3) 最低5次 202.151.58.170 10/03 12:18
3F：→ Qmmm:1. x度 = 2x(pi)/360 202.151.58.170 10/03 12:18
4F：→ Qmmm:5. 1^∞不定型 202.151.58.170 10/03 12:31
5F：→ Qmmm:6. 罗必达、黎曼合 202.151.58.170 10/03 12:35
※ 编辑: SDUM 来自: 218.175.80.30 (10/03 15:10)