Q/६ using integrat test: n - 14 (n+1)(n-4) Test the following series
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- Use the binomial series to expand the function as a power series. 9 (4 + x)3 ∞ n = 0 State the radius of convergence, R. R =How do I appropriately answer number 13? This is a question from my Differential Equations course, and the name of the chapter is, "Review of Power Series." I think that to determine the radius of convergence is by doing some kind of root test, ratio test, etc.Considering the ODE and the power series solution, find a rule to determine the Cn coefficient (image)
- 3) Express F in terms of functions that you know the power series expansion for.Solve the IVP by a power series showing details of your work. Find the value of the sum at x1 to 6 significant figures (6S) (x2 + 2) y” + 3 x y’ - y = 0 y (0) = 1 y’ (0) = 1 x1 = 0.5Find a power series representation for the function. Determine the interval of convergence. f(x) = 1/(6+x)
- Find the power series representation of ln[1 + x] either by differentiation orintegration of the power series or by finding p(x), the Taylor series. Determinethe interval of convergence.Use the binomial series to expand the function as a power series. State the radius of convergence: (1-x)^(3/4)What is the alternating series error bound? Image included