(a) Find the radius and region of absolute convergence of complex power series E(i)"/2 (In(n+ 1)(2 – 2021)` In(n + 2020) 1 s(z) := n n=1 Hint: You could apply Cauchy-Hadamard THM 3.4, cf. CALEC32.

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A: 2x3-5x2-23x-10y" + 4y' -3y = 0which can be written asy" + 42x3-5x2-23x-10y'-32x33-5x2-23x-10y = 0Now…

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Q: 11. dx converges, so the series converges. x (In x)2

A: Here, we need to find the value of the definite integral. If the value exists then series converges…