作者a963852741l (HU)
看板NCCU_Exam
标题[试题] 992 陆行老师 微积分 随堂考
时间Wed Jul 20 10:10:32 2011
课程名称：微积分
开课教师：陆行教授
开课系级：金融一
考试日期(年月日)：2011/5/11
考试时限(Mins)：60(mins)
试题本文：
1.Use the integral test to determine whether the given series converges or
diverges.(13 points)
∞
Σ(2/3k+1)
k=1
2.Use the p-series test to determine whether the given series converges or
diverges.(13 points)
∞
Σ(1/k^2.5)
k=1
3.Use the ratio test to determine whether the given series converges or
diverges.(13 points)
∞
Σ(2^k/k!)
k=1
4.Determine whether the given geometric series converges, and if so, find its
sum.
(a)(13 points)
∞
Σ(e^-0.2n)
n=1
(b)(13 points)
∞
Σ(-1)^n*2^n+1/3^n-3
n=2
5.Determine the radius of convergence and the interval of absolute convergence
for the given power series.(13 points)
∞
Σ(2^2k*x^k/k^2)
k=1
6.Find a power series for the given function and determine its interval of
absolute convergence.(13 points)
f(x)=1/2-x
7.Find the Taylor series for the given function at the indicated point a=0
(13 points).
f(x)=e^3x
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