How to Prove the Function Is Continuous - Search Videos

Example 16 - Prove that every rational function is continuous

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Example 16 Prove that every rational function is continuous.Every Rational function 𝑓(𝑥) is of the form 𝒇(𝒙)= 𝒑(𝒙)/𝒒(𝒙) where 𝑞(𝑥) ≠ 0 & 𝑝, 𝑞 are polynomial functions Since 𝑝(𝑥) & 𝑞(𝑥) are polynomials, and we know that every polynomial function is continuous.Therefore, 𝒑(𝒙) & 𝒒

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