Find the values of x (in interval notation) for which the following geometric series converges. What do they converge to? 1. Σ%-o (½)¹(x − 3)n 2. Eko(−1)nx²n

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Q: With the aid of Wronskian: f(x)=sin(2x); g(x)=cos(x)sin(x)

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A: Note that : Since you have posted a question with multiple sub parts, we will provide the solution…

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Q: :/ √64x2-49 x3 (A) Which trig substitution is correct for this integral? Evaluate the integral: da

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A: 2x(x-1)y"+3(x-1)y'-y=0 what's the series solution near a regular singular point at x=0. And what is…

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Q: where did n+1 come from? can you provide explanations for the whole solution

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Q: 5. Show that the solution of the inhomogeneous iVP un - kurz = f(x, t), u(x,0) = o(x), u(x,0) = (x),…

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Q: 1. Determine the radius of convergence of the series ar", where an is given by: (d) (logn)-¹, n ≥ 2.…

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Q: ou provide the solution to get the integral after substi

A: Comparison Test for improper integralsIf  on the interval  thenIf  converges then   also…