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Representation - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Representation, Power Series, Representation, Function, Convergence, Relationship, Find

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

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ranga 🇮🇳

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MATH 106B - CALCULUS II
WINTER 2006
QUIZ 10
NAME:
Show ALL your work CAREFULLY.
(a) Find a pwer series representation of the followingfunction f(x) and the radius
of convergence of the power series.
f(x)=e−x2
(b) Use the power series representation of 1
1−tto give a power series representa-
tion of ln(1 −t). [Hint: what is the relationship between 1
1−tand ln(1 −t)?]
Date: April 3, 2006.
1

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MATH 106B - CALCULUS II

WINTER 2006

QUIZ 10

NAME:

Show ALL your work CAREFULLY.

(a) Find a pwer series representation of the following function f(x) and the radius of convergence of the power series.

f(x) = e−x 2

(b) Use the power series representation of (^1) −^1 t to give a power series representa- tion of ln(1 − t). [Hint: what is the relationship between (^1) −^1 t and ln(1 − t)?]

Date: April 3, 2006. 1