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This is class quiz. Its from Calculus class. Some key points are: Series Representation, Power Series, Function, Convergence, Radius, Carefully, Find
Typology: Exercises
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QUIZ 10
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) = sin(
x)
(b) Use the pwoer series representation of
1 1 −t to give a power series representa-
tion of ln(1 + x^2 ). [Hint: find a power series representation of
2 x 1+x^2
first.]
Date: December 5, 2005.
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