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Let pp be a polynomial, and let θ∈(−1,1)θ∈(−1,1). Show that the series ∑∞k=1p(k)θk∑k=1∞p(k)θk converges absolutely.

Let pp be a polynomial, and let θ∈(−1,1)θ∈(−1,1). Show that the series ∑∞k=1p(k)θk∑k=1∞p(k)θk converges absolutely.

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