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MATH 101 Quiz #6 (v.M1) Last Name: Friday, April 1 First Name: Grade: Student-No: Section: Very short answer question ∞ X (−1)n 1. 1 mark Determine whether the series is absolutely convergent, conditionally conn + n2 n=1 vergent, or divergent. Answer: Short answer questions—you must show your work 2. 2 marks Determine whether the series ∞ X n2 + 3 is convergent or divergent. You must 3 + 4n n n=1 justify your answer. 3. 2 marks What is the smallest value of N such that the partial sum ∞ X (−1)n within an accuracy of 10−6 ? n n · 10 n=1 N X (−1)n approximates n n · 10 n=1 Long answer question—you must show your work 4. 5 marks Find all values x for which the series ∞ X (2x − 3)n n=1 n2 converges.