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1. How to prove that if a complex function g is differentiable at a point x in the complex numbers, then g is continuous at

1. How to prove that if a complex function g is differentiable at a point x in the complex numbers, then g is continuous at that point x.

2. If we have the radii of convergence R and R' for two power series, what can we say about the radius of convergence for an+bn? Would that just be R + R'?

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