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)
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