A neat limit with a clever trick
Автор: Dr Peyam
Загружено: 2020-10-12
Просмотров: 13946
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Limit of n^1/n using a clever trick
In this video, I calculate the limit as n goes to infinity of n^1/n without using L'Hopital's rule, and instead by using a clever trick suggested by a subscriber. Namely, here I use the arithmetic mean-geometric mean inequality (AM-GM) and the squeeze theorem to show that the limit is 1. Enjoy!
Another neat way of evaluating the same limit: • DON'T use logarithms (Limit Example 9)
Clever Proof of the AM-GM inequality: • Arithmetic geometric mean inequality
Another proof of the AM-GM inequality: • The arithmetic-geometric mean inequality
Check out my Integrals Playlist: • Integrals
Check out my Calculus Playlist: • Calculus
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