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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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If $P_n \rightrightarrows P$ in $\mathbb{R}$ and $P_n$ are polynomials proof that $P$ is pol... [closed]

I know that if $P_n$ are continuous functions and $P_n \rightrightarrows P$, $P$ is also continuous function. But I can't see in which direction I should dig to prove that $P$ is polynomial. I will ap …
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