133quiz9solution - Quiz 9 Name_ Section_ TA_ Determine the...

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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 0 (1 ) 5 n n n x n = + . In other words, you should check the endpoints of the interval as well. Please show all work. 1 1 1 1 ) 5 1 2 (2 ) 5 5 2 5 1 1 1 lim 2 55 1 nn n xx xn n n nxn n n n ρ + + →∞ ⎛⎞ + ⎜⎟ ++ == ⎝⎠ + + + 5 x <⇒ convergent (absolutely) 0 1 5: 1 n
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This note was uploaded on 02/05/2010 for the course MATH 133 taught by Professor Wei during the Fall '07 term at Michigan State University.

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