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11.10: Problem 14 Previous Problem Problem List Next Problem (1 point) By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series. A. 1 - 2 + 72 - ! 74 4! 76 6! + + (-1)"72 (2n)! + B. 7 - 17/ 73 75 5! + 77 7! (-1)"72n+1 + ... + + ... = = (2n+1)! Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.

11.10: Problem 13 Problem List Previous Problem Next Problem (1 point) Use sigma notation to write the Maclaurin series for the function. In(7 + x). 00 Maclaurin series + Σ k=1 (Note first term separate and summation from k = 1) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.

11.10: Problem 12 Previous Problem Problem List Next Problem (1 point) Evaluate the indefinite integral as a power series | (> arctan(x) dx. Find the first five non-zero terms of power series representation centered at x = 0. Answer: f(x) = + + + + + ... What is the radius of convergence? Answer: R= Note: Remember to include a constant "C". Preview My Answers Submit Answers

11.10: Problem 11 Previous Problem Problem List Next Problem 00 (1 point) Write the Maclaurin series for f(x) = 5x²e-88 as ,X". n=0 Find the first six coefficients. Co= 1/sqrt(2) C1 = -1/sqrt2 C2= C3= C4= C5= Note: You can earn partial credit on this problem. Preview My Answers Submit Answers