MATH 2007 Study Guide - Quiz Guide: Ratio Test, Binomial Series, Conditional Convergence

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Xn=0 ( 1)nx2n+1 (2n + 1)! is the maclaurin series of. 4n2 + 9 is (a) divergent (b) absolutely convergent (c) conditionally convergent: give the maclaurin series for sin(x) and show that it converges for all x , use the maclaurin series of. 1 to nd the maclaurin series of arctan(x2) . What: use the maclaurin series for ex to nd the maclaurin series for z ex3 be the interval of convergence ? dx . What would: use the binomial series to nd the maclaurin series for f (x) = (1 + x)1/4 .

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