2n Given f(x) = on the interval of convergence of the Maclaurin series .Find f(3) (0) 2n (a) 6 (b) ? () } 3 (d) (e) None

Q: (4x+8)* What is the radius of convergence ( R) and center (a ) of the power series E 3n

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Q: Show that (1-)" =e= %3D Which of the series converge and which diverge. 4n+3 (1) E=14 m%3D1 (-4)"…

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Q: +∞ If f(x) = (x-2)¹" √n-1 O O O 1-2 n=2 V +00 Σ(-1) ¹(2-2)-1 n=2 √n-1 n(x-2) ¹√n-1 +00 -n(2-2)√√n-1…

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Q: n! If f(x) : " and g(z) = L (- n! „x", find the power series of 1 (f(x) – g(x)). nn n=0 - n=0 n=0

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Q: 1. A function f is defined by 1 2 = + 3 4 f(x)= x + 3 32 33 34 for all in the interval of…

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Q: The function f(x) = 1+9z is represented as a power series f(x) = Cnt". n=0 Find the first few…

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Q: (2) Consider the power series f(x) = En=1 ngn (X – 2)" (a) Find the radius of convergence and…

A: The given power series is fx=∑n=1∞1n39nx-22n. To find:   a) Radius of convergence and determine the…

Q: 4. For the function f(x) find the power series representation and its interval of (1 – 4x)²…

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (If an…

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Q: 00 The series f(x)=Σ (a) (b) n can be shown to converge on the interval [-1, 1). Find the series…

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Q: 1. Let f(x) = 1 4-2² a) Find a power series representation for f(r) and indicate its interval of…

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Q: 3. Consider function f(x) given by the series 8∞ f(1) Σ- 2π)" n=0 Find a power series for f'(x) and…

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Q: 1 55. g(x) = In (1-3 x) using f(x) = %3D %3D 1-3x

A: Let the function is  g(x)=ln(1-3x)