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Mathematical Methods in the Physical Sciences
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- Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+arrow_forward↑ Use the following information to complete parts a. and b. below. 3 f(x) = -, a = 1 a. Find the first four nonzero terms of the Taylor series for the given function centered at a. OA. The first four terms are −3+3(x-1)-3(x-1)² +3(x-1)³. OB. The first four terms are 3-3(x-1)+3(x-1)²-3(x-1)³. OC. The first four terms are 3-3(x-1) + 6(x-1)²-9(x-1)³. OD. The first four terms are -3+3(x-1)-6(x-1)² +9(x-1)³. b. Write the power series using summation notation. 3(-1)+1 k=0 (x-1) k 00 Oc. Σ 31-1)*(x-1) k=0 00 OA. OCCER 00 OB. 3(-1)+¹(x-1)* k=0 00 OD. Σ 3(-1)k k=0 (x-1)^ į OWD Warrow_forwardFind the taylor series for f(x) = -4ex about x=5arrow_forward