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5. Power Series.  Find a power series representation and the radius of convergence for any the functions...

5. Power Series.  Find a power series representation and the radius of convergence for any the functions f(x) below where, in each case, a is a non-zero constant.

(a) f(x) = arctan(ax)

(b) f(x) = ln(a − x^2)

Math   Calculus   
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