What is the limit as n approaches 10 of [1+(1/n)]^n ?

The limit as n approaches 10 of [1+(1/n)]^n is (11^{10})/(10^{10)}

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limit as n approaches 10 of [1+(1/n)]^n

n \to 10 lim ([1 + (\frac{1}{n})]^{n})

\frac{1 1 ^{10}}{1 0 ^{10}}

Decimal

2.59374 \dots

Solution steps

n \to 10 lim ([1 + \frac{1}{n}]^{n})

Plug in the value

n = 10

= [1 + \frac{1}{10}]^{10}

Simplify

(1 + \frac{1}{10})^{10} : \frac{1 1 ^{10}}{1 0 ^{10}}

= \frac{1 1 ^{10}}{1 0 ^{10}}

What is the limit as n approaches 10 of [1+(1/n)]^n ?
The limit as n approaches 10 of [1+(1/n)]^n is (11^{10})/(10^{10)}