webwork.elearning.ubc.ca + Power Ser... G Google C... UBC Syllabus :... UBC Homewor... WeBWork... P MATH 101... Taylor Ser... sy ( (x^5))/(1... M (no subje... Sy 1/ ( 2 an ) -... G how to fin... NUITICWUIn II. FIOVICIII y (1 point) ms Consider the function f (2) = (1 + 52) 2 (a) Find the power series representation centered at x = 0. Complete the given equation. Answer: f(2 ) = M ( - 5 ) 1 ( n - 2 ) ( n + 1 ) * ^ ( n + 5 ) n= 0 Note: In the sum, write an expression involving n and x for which the indices n = 0, 1, 2, 3, 4 generate the 5 terms in part (b). (b) Enter the first 5 nonzero terms of the power series. Answer: f(x) = x15 + (c) Find the interval of convergence for the power series. Answer: Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 6 times. Your overall recorded score is 14%. You have unlimited attempts remaining.webwork.elearning.ubc.ca + Power Ser... G Google C... UBC Syllabus:.. UBC Homewor... WeBWork... P MATH 101... Taylor Ser... sy ( (x-5) )/(1 ... M (no subje... Sy 1/ (2 an ) -... G how to fin... Homework 11: Problem 7 (1 point) 9 Consider the function f (a) = (1 - 6x)2 (a) Find the indicated coefficients in the following power series identity, valid on some nonempty interval centred at x = 0: (* ) f(ac) = >cnan. n= 0 CO = 9 C1 = 9/25 C2 = C3 = C4 = (b) Find the radius of convergence of the series in line (*). Answer: R = 1/6 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers