AMS 315 Lecture 7: Chapter 7

Dr. Faran Quiz Twelve November 29, 2017 MTH 142F Name Tavid Prinae I. Lot a, be a sequence. What does it mean for lim a L? lim an 2. Let a, be a sequence, what does it mean for Σ a.-L? 2 , L K-I 3. State the ratio test. (a) Why does the series converge if L 1? (c) Why does the testfail if L = 1? (Hint: Find a series with that converges and another with L 1 that diverges.) 4. For which values of r does the following series converge: (x +2)n Justify your answer. 5. Find a function f(x) so that, for all -1