Question: Power Series, image attached below quick questions: Exercise I: Basic properties of power series 1. Find the radius of convergence and interval of convergence of

Power Series, image attached below quick questions:

Exercise I: Basic properties of power series 1. Find the radius of convergence and interval of convergence of the power series +00 371, E21 x\". 2. Find the radius of convergence and interval of convergence of the power series 1 2 + :1: and give its radius of convergence. 4. Find a power series representation for 1 1 + 11:3 and give its radius of convergence. Deduce a series whose sum is 1/2 1 d [0 1+x3 x

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