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Identity Function
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Example 6 - Prove that the identity function on real numbers f(x) = x
Example 6 Prove that the identity function on real numbers given by f (x) = x is continuous at every real number.Given 𝑓(𝑥)=𝑥 To check continuity of 𝑓(𝑥),We check it’s if it is continuous at any point x = cLet c be any real number f is continuous at 𝑥 =𝑐 if (𝐥𝐢𝐦)┬(𝐱→𝒄) 𝒇(𝒙)=𝒇(𝒄)L
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