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Limit of ((1+1/n)^n-e)n as n approaches infinity

Автор: blackpenredpen

Загружено: 2018-01-08

Просмотров: 233057

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We know the limit of (1+1/n)^n goes to the Euler's number e as n goes to infinity. However, we need to be extra careful when we are evaluating the limit of n((1+1/n)^n-e) as n goes to infinity. This is a great L'Hospital's rule limit question to challenge calculus 1 and calculus 2 students.
Check out my "100 calculus limits in one take":    • 100 calculus limits (ft epsilon-delta defi...  
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Limit of ((1+1/n)^n-e)n as n approaches infinity

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