Math 115 Exam #1 Practice Problems
Math 115 Exam #1 Practice Problems For each of the following, say whether it converges or diverges and explain why. 1. P ∞ n=1 n3 5+3 Answer: Notice that n3 n5 +3 < n3 n5 = 1 n2 for all n. Therefore, since P 1 n2 converges (it’s a p-series with p = 2 > 1), the series P n3 n5+3 also converges by the comparison test. 2. P ∞ n=1 3n 4n+4 ...
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