Problem 7. Consider the power series 12. (a) Calculate the radius of convergence for this power series. (b) Show using the Weierstrass M-test that this power series converges uni- formly on [-r, r] whenever 0 < r < 2. (c) Define f(x) = -1 " wherever the power series converges. Use part (b) to show that f is continuous on (-2, 2).

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