MATH 156 WVU Convergent Power Series Analysis Questions

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Math 156

West Virginia University

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Calculus II MATH 156 Quiz 24 Name You MUST show ALL of your work. Find the Radius of Convergence and Interval of Convergence for each Series. If you use a Convergence Test, then tell which Test you used. If you use another Series, then tell why that Series Converges or Diverges.   1n x  1n 1)  [3 points] n 1 n2  2) xn 4 n n!   n 0 [3 points] Find a Power Series representation for the function. Determine the Radius of Convergence and Interval of Convergence for the Series. If you use a Convergence Test, then tell which Test you used. If you use another Series, then tell why that Series Converges or Diverges. x 3) f  x   [4 points] 2 x Calculus II MATH 156 Quiz 25 Name You MUST show ALL of your work. Find a Power Series representation for the function. Determine the Radius of Convergence and Interval of Convergence for the Series. If you use a Convergence Test, then tell which Test you used. If you use another Series, then tell why that Series Converges or Diverges. 3x 1) f  x   [3 points] 3 x 2) f  x   x2 2  x 2 3) f  x   5 ln 1  x  [4 points] [3 points]
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