(2) \( (10\%) \) Suppose that the coefficients of the power series \( \sum a_{n}z^{n} \) are in integers, infinitely many of which are distinct from zero. Prove that the radius of convergence is at most 1.
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(2) \( (10\%) \) Suppose that the coefficients of the power series \( \sum a_{n}z^{n} \) are in integers, infinitely many of which are distinct from zero. Prove that the radius of convergence is at most 1.