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Question from Rahul:

I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the function

Hi Rahul,

I think the result you want is

If is continuous at b and \lim_{x \rightarrow a} \; g(x) = b then

\lim_{x \to a} f(g(x)) = f(b) = f\left(\lim_{x \to a} \; g(x) \right)

Penny

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