What is the correct power series form of f(x) =/1-3x³ at a-0? * (1·3.5..· (2n- 3))· 3^x³n Σ n=0 2" - n! Some other answer 1-- (1·3.5. . (2n+1)) - 3^x³n 2" . n! n= 2 1-* (1·3.5. .· (2n-3)) · 3^x³n n= 2 2"· n! -ž (1·3·5. (2n+1)) · 3^x³n Σ n=0 2". n!

Q: (x+1)y''-(2-x)y'+y=0  y(0)=2, y'(0)=-1 What are the first six non zero terms of the power series?

A: (.) Given differential equation is, (.)  Power series solution of a second order linear differential…

Q: The series 33n 23n–2 is a geometric series. (1) What is its initial term a ? a = (ii) What is the…

A: a) To find the initial term we put n=1 Answer(a): 13.5

Q: #3. Prove that 2 = tan [ = log (T_-_ iz)

A: To Prove:z=tan1ilog1+iz1-iz12.

Q: (-1)*+1gk+2 x' (a) Find a function represented by the power series > k! k=0 (-1)*+1 . 2k+2 3k+2. k!…

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Q: Use the Maclaurin Series for w(x) e*and q(x) = cosx to find first four terms for nonzero f(x) =…

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Q: Determine the value of f(2) when X 2x3 3x5 + 4² 46 f(x) 1. f(2) (Hint: differentiate the power…

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Q: What is the power series representation of (1-cos(x^2))/x^2?

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Q: hich of the following is a power series representation of the function F(x) O O O O -~(-5) ¹ - (¹)…

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Q: The series 0 Cn (x+4)" converges for x = 0 and diverges for x = 3. Circle/indicate the correct…

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Q: If f(x) = 2x" and g(x) Σ na", find the power series of f(r)g(x). %3D n=0 00

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Q: 4) (a) Find a deqree 3 power series for the function sin(x) centered at T fla) = f (2) + f(a) (x-a)…

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Q: (-1)" + 1 n=1 (n³)(2") The series 2 is a convergent series. a. Approximate the sum of this series…

A: First calculate sum of first four term and find error by using actual sum of series

Q: A) The fraction  b/a  may be written as  b/a = (a+b−a) / a = 1 + (( b−a ) / a ). Use the power…

A: Given, Variables required for the expression of  inductance (L) To find: a) Inductance approximate…