Question: Here are 2 problems: Power Series 1. Find the interval of convergence for the following power series: co (a) > 21 n=0 7.2n (b) 7=0

Here are 2 problems: Power Series 1. Find the interval of

Here are 2 problems:

Power Series 1. Find the interval of convergence for the following power series: co (a) > 21" n=0 7.2n (b) 7=0 (2nz)! (c) (-1)"(x - 2)" 3n + 1 1=0 8 2" (r + 4)" (d) 7=0 Vn 2. Use power series from class to derive power series expansions for the following functions. Ex- plicitly write out the first four terms of the series: (a) f(I) = 1+ 3 (b) f(x) = ret

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