Question: From the formula 1 1x = 1 + x + x2 + x3 + , obtain the power series representation of the following functions. Also,

From the formula 1 1x

= 1 + x + x2 + x3 + , obtain the power series representation of the following functions. Also, nd the corresponding radius of convergence.

(4 points each) From the formula _ = 1+x+ + + ..., obtain the power series representation of the following functions. Also, find the corresponding radius of convergence. (a) x' In(3 + x) (b) 2x (1+x)3

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