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Unformatted text preview: Nicholas Charles Miller MTH 133 KURTZ 133.007 WeBWorK assignment number 11.5 is due : 04/05/2010 at 06:00am EDT. IMPORTANT: Look for orange-colored text written above the online list of homework problems for this set to tell you whether the due date for 100-percent credit on correct answers is actually prior to the due date given above (i.e., if the due date given above includes a reduced-credit grace period). For help on any of these problems, please consult the MTH 133 WeBWorK Forum or start a new thread with your questions. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. Usually you can attempt a problem as many times as you want before the due date. However, if you are having trouble figuring out your error, you should consult the book, go to the Math Learning Center, or ask a fellow student, one of the TA’s or your professor for help. Don’t spend a lot of time guessing – it’s not very efficient or effective. Do not give decimal answers. Instead use fractions, pi, sqrt(2), etc.. For most problems when entering numerical answers, you can if you wish enter elementary expressions such as 2 ∧ 3 instead of 8, sin ( 3 * π / 2 ) instead of (- 1 ) , e ∧ ln ( 2 ) instead of 2 , etc. Here’s the list of the functions which WeBWorK understands. 1. (1 pt) Textbook section 11.5: Problem number 1 Consider the infinite series ∞ ∑ n = 1 n √ 8 8 n . ———————————————————————– PART 1: Find the value of ρ given by the ratio test: ρ = Leave your answer as a finite number, inf (for + ∞ ),- inf (for- ∞ ), or DNE (if none of the other answers is correct or if the ratio test does not apply to this series). ———————————————————————– PART 2: What conclusion, if any, can you draw from the ratio test in this case? • A. the series converges • B. the series diverges • C. the ratio test fails • D. the ratio test cannot be used on this series ———————————————————————– PART 3: Is another test needed to confirm convergence or divergence of the series? If so, give the results provded by that test. • A. No, another test is not needed • B. Yes. The series converges from the nth term test • C. Yes. The series diverges from the nth term test • D. Yes. The series converges using the results for a geo- metric series • E. Yes. The series diverges using the results for a geo- metric series 2. (1 pt) Textbook section 11.5: Problem number 3 Consider the infinite series ∞ ∑ n = 1 3 n ! e- 5 n . ———————————————————————– PART 1: Find the value of ρ given by the ratio test: ρ = Leave your answer as a finite number, inf (for + ∞ ),- inf (for- ∞ ), or DNE (if none of the other answers is correct or if the ratio test does not apply to this series)....
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This note was uploaded on 10/17/2011 for the course MATH 133 taught by Professor Wei during the Spring '07 term at Michigan State University.
- Spring '07