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$$ SCALCET$92\mathrm{.}3\mathrm{.}059.$

If $p$ is a polynomial, show that $\underset{xa}{lim}p(x)=p(a).$

Since $p(x)$ is a polynomial, $p(x)=a_0+a_1(,)+a_2{x}^2+$cdots$+a_n{x}^n.$ Thus, by the limit laws,

Thus, for any polynomial $p,\underset{xa}{lim}p(x)=p(a).$

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