Find all such polynomials – math.stackexchange.com

Find all such polynomials – math.stackexchange.com

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Find all polynomials $P(x)$ with real coefficients, such that, $$ |P(x)| \leq \sum_{r=0}^{\infty} |\sin (x)|^{r} \quad \forall \ x \ \in \ \mathbb{R}$$ This question looks daunting. Please ...

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