What is the limit as n approaches 0 of (1+n)^{1/n} ?

The limit as n approaches 0 of (1+n)^{1/n} is e

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limit as n approaches 0 of (1+n)^{1/n}

n \to 0 lim ((1 + n)^{\frac{1}{n}})

e

Decimal

2.71828 \dots

Solution steps

n \to 0 lim ((1 + n)^{\frac{1}{n}})

Apply the common limit:

n \to 0 lim ((1 + n)^{\frac{1}{n}}) = e

= e

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What is the limit as n approaches 0 of (1+n)^{1/n} ?
The limit as n approaches 0 of (1+n)^{1/n} is e