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Previous Problem Problem List Next Problem Power Series: Problem 5 I (1 point) If y : 2;, (k + mm then 3,! : 2,310 O I Preview My Answers Submit Answers You have attempted this problem 0 times. You have 7 attempts remaining. Email Instructor Previous Problem Problem List Next Problem Use a Maclaurin series derived in the text to derive the Maclaurin series for the function Binlw) , i . V , . i ' at) : a: (111:, f(0) = 0. Find the first 4 nonzero terms In the series, that is write down the Taylor polynomial with 4 nonzero terms. I Preview My Answers You have attempted this problem 0 times. You have 7 attempts remainingi Email Instructor I Previous Problem Problem List Next Problem The function f(1v) 7$2 amt-31210610 )is represented as a power series ip) : 2 Cum". m0 - What is the lowest term with a nonzero coefficient. nzo Find the radius of convergence R of the series. I R = Cl Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times, You have 7 attempts remaining. Email Instructor Previous Problem Problem List Next Problem Power Series: Problem 3 I (1 point) Find the sum of the series ' 00 $193 ,1 "7 51' l n! It will be a function of the variable x. Preview My Answers You have attempted this problem 0 times, You have 7 attempts remaining. Email Instructor Previous Problem Problem List Next Problem rUVVUI GUI IUD. I'IUIJIUIII U (1 point) Suppose that x) and g(:i:) are given by the power series f(m) =5+7w+7m2+2m3+w I and g(a:) =2+7w+3m2+2w3+---. By multiplying power series, find the first few terms of the series for the product M93) 2 f(w) - g(w) 2 co + elm + c2932 + 3933 + - - -. ('1 0 || 0 N I I Saba n o: I I Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 7 attempts remaining. Email Instructor Previous Problem Problem List Next Problem Power Series: Problem 1 I (1 point) Find the sum of the following series. If it is divergent, type "Diverges" or "D". i 1 1 n 1 1 + 1 1 + l ":1 n 4 _ 4 32 192 1024 Answer: U Note: You cannot write a decimal number for the answer. Hint: What power series is equal to this sum? Preview My Answers Submit Answers You have attempted this problem 0 times. You have 7 attempts remaining, Email Instructor Previous Problem Problem List Next Problem (I palm.) Find all values of a: where the given series converges, 5"a:"(n+ 1) 1 n+1!) 7;: Answer: D Note: Give your answer in interval notation. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 7 attempts remaining, Email Instructor Find all the values of x such that the given series would converge. | gnl(w~5)" The radius of convergence for this series is: 0 Preview My Answers Submit Answers You have attempted this problem 0 times' You have 7 attempts remaining. Email Instructor Previous Problem Problem List Next Problem Find the Maclaurin series of the function x) = 3:1:3 10$2 55E -l- 10. ' m) : genre" Determine the following coefficients: CO: C: o o u N H || || || ('3 .5; || Find the radius of convergence: R = 8 Note: Enter infif the radius of covergence is infinity. Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times. You have 7 attempts remaining. Email Instructor