MATH 101 Quiz #6 (v.M2) Last Name: Friday, April 1 First Name: Grade: Student-No: Section: Very short answer question ∞ X (−1)n √ is absolutely convergent, conditionally con1. 1 mark Determine whether the series 1+ n n=1 vergent, or divergent. Answer: Short answer questions—you must show your work 2. 2 marks Determine whether the series ∞ X n+3 is convergent or divergent. You must 2 + 2n 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 10−4 ? 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 (x + 2)n n=1 n2 converges.