Prove that every rational function is continuous. - Vidyadip

Question

Prove that every rational function is continuous.

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Answer

Recall that every rational function f is given by
$f(x)=\frac{p(x)}{q(x)}, q(x) \neq 0$
where p and q are polynomial functions. The domain of f is all real numbers except points at which q is zero. Since polynomial functions are continuous, f is continuous

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