Calculus: the limit, as n tends to infinity, of nth root of n.
The tutor works a limit using the log trick and l’Hôpital’s rule. Example: Evaluate limn→∞n^(1/n) Solution: First, imagine y=limn→∞n^(1/n) Next, we take the logarithm of both sides: lny=lnlimn→∞n^(1/n) Now, because both lny and n^(1/n) are continuous n→∞, we can change …
Calculus: the limit, as n tends to infinity, of nth root of n. Read more »