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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.
1n x 1n
1)
[3 points]
n 1
n2
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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