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This is class quiz. Its from Calculus class. Some key points are: Endpoints, Interval, Convergence, Power Series, Representation, Derivative, Find
Typology: Exercises
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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=
(x − 1)n n^3
(b) Find a power series representation of ln( 1 x + 1). [What is the derivative of ln(x + 1)? Recall that 1 −t =^ ∑∞^ n=0^ tn^ for^ |t|^ <^ 1.]
Date: April 8, 2009. 1
