Suppose g has a power series representation at –2 and g(7) is the n-th derivative of g. If g(x) = On (x + 2)" for all æ, then O a. the power series must diverge. O b. the radius of convergence is ∞ O c. g(m) (2) п! d. g(m)(-2) n! e. the interval of convergence is (-x, a) O f. b, = 1! O g. bz = 3!

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Q: 1. (a) Use differentiation to find a power series representation for 1 f(x) = (1+x)² ˚ What is the…

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Q: 1 (a) Show that 1-x² +x* -x° +.. , where |x| < 1. 1+x? (b) Hence write down the first four non-zero…

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Q: A. Determine the convergent of the following series. 1- Vn(Vn+1)

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Q: 4 5. Find a power series representation of the function and its interval of convergence. f(x) 2x+3

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Q: 1. Find the interval of convergence of the power series E- xn n2

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Q: Suppose g has a power series representation at 1 and g") is the n-th derivative of g. If 9(x) = Cn(x…

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Q: 1. Find the Laurent series that converges for 0 < ]z| < ∞ for the function sinh 2z z2

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