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

A math quiz from math 106, section b, dated march 8, 2004. The quiz covers the topics of series convergence and taylor series. The first question asks to find the interval of convergence and the function that the series converges to of the given series. The second question asks to find the first four terms and as many more terms as possible of the taylor series of the function f(x) = e^x + e^(-x) at x = 0.

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Name Quiz 6
Math 106, section B March 8, 2004
1. Find the interval of convergence of the series
X
n=1
x2n
2n. 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 B March 8, 2004

  1. Find the interval of convergence of the series

∑^ ∞

n=

x^2 n 2 n

. 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