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Quiz 10
Math 296 Spring 2020
Name___________________
Due by 5:00 pm (Syracuse time) on Friday, 3/27. Email to TA:mkrame04@syr.edu
Show all work. Incomplete answers may receive little or no credit.
Determine if the following series converge absolutely, converge conditionally, or diverge.
Hint: You may wish to remember that lim (
∞
ln(4 + 𝑛)
𝟏. ∑(−1)𝑛 (
)
𝑛
𝑛=2
∞
𝟐. ∑
𝑛=1
∞
𝟑. ∑
𝑛=1
∞
(𝑛 )2𝑛
(𝑛 + 1 )3 𝑛
sin(3𝑛)
5𝑛 2 + 4
𝑛! 5𝑛+1
𝟒. ∑
𝑛𝑛
𝑛=2
𝑛
𝑛→∞
𝑛+1 𝑛
𝑛
1 𝑛
) = lim (1 + 𝑛) = 𝑒
𝑛→∞
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Compute the expected value for the profit associated with the two expansion alternatives
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