I'm looking for a proof of the following statement:
If lim f(x) exists, then lim nth root [ f(x) ] = nth root [ lim f(x) ]
I can't seem to find a proof in any Calculus/Analysis books.
Follow Math Help Forum on Facebook and Google+
If , then this holds by the chain rule (the statement about the limit of composition) since is continuous for .
View Tag Cloud