Question: a) Find a power series representation for the function and determine the radius of convergence for f(x)=x^2/ (1-2x^2) ^ 2. Do not use binomial expansion.

a) Find a power series representation for the function and determine the radius of convergence for f(x)=x^2/ (1-2x^2) ^ 2. Do not use binomial expansion. Use 1/(1-r) method to solve.

b) Use a power series to approximate the definite integral to six decimal places (can use calculator): integral from 0 to 0.4 of arctan(x^2)dx. Solve through a power series representation for the given integral.

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