Quiz 6: Math 106, Section A - Series Convergence and Taylor Series, Exercises of Calculus

A math quiz focused on finding the interval of convergence and the function that a series converges to, as well as finding the first few terms and as many terms as possible of the taylor series of a specific function.

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2012/2013

Uploaded on 03/16/2013

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Name Quiz 6
Math 106, section A March 8, 2004
1. Find the interval of convergence of the series
X
n=0
(1)nx2n+1
2n+ 1. For extra credit, find the function
that the series converges to.
2. Find the first four terms, and as many more terms as you can, of the Taylor series at x= 0 of
f(x) = ex
ex
2.

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Name Quiz 6 Math 106, section A March 8, 2004

  1. Find the interval of convergence of the series

∑^ ∞

n=

(−1)n^ x^2 n+ 2 n + 1

. For extra credit, find the function

that the series converges to.

  1. Find the first four terms, and as many more terms as you can, of the Taylor series at x = 0 of

f (x) =

ex^ − e−x 2