Q9 - Quiz 9 Name Section TA Determine the radius of...

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Quiz 9 Name____________ Section___________ TA______________ Determine the radius of convergence as well as the precise interval of convergence for the power series 2 0 (1 ) 3 n n n x n = + . In other words, you should check the endpoints of the interval as well. Please show all work. 2 2 12 21 2 1 1 ) 3 1 2 (2 ) 3 3 2 3 1 1 1 lim 2 33 1 nn n xx xn n n nx n n n n ρ + + →∞ ⎛⎞ + ⎜⎟ ++ == ⎝⎠ + + + 3 x <⇒ absolutely convergent 3 x >⇒ divergent
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This note was uploaded on 05/12/2008 for the course MATH 133 taught by Professor Wei during the Spring '07 term at Michigan State University.

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