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Power - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Power, Interval, Convergence, Series, Endpoints, Representation, Interval of Convergence

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
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MATH 106B,C - CALCULUS II FALL 2011
QUIZ 10
NAME:
Show ALL your work CAREFULLY.
(a) Find the interval of convergence of the following power series [Do not forget to check the endpoints!].
∞
X
n=1
2n
3n(x+ 3)n
(b) Find a power series representation of sin x
x. State the interval of convergence.
Date: December 7, 2011.
1

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MATH 106B,C - CALCULUS II FALL 2011

QUIZ 10

NAME: Show ALL your work CAREFULLY. (a) Find the interval of convergence of the following power series [Do not forget to check the endpoints!]. ∞ ∑ n=

2 n 3 n (x^ + 3)n

(b) Find a power series representation of sinx^ x. State the interval of convergence.

Date: December 7, 2011. 1