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)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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 Notation

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}}

n = 0 \sum \infty (\frac{i}{3})^{n}

\frac{d}{d x} (2 (1 - x)^{- 3})

x \to 0 lim (\frac{5 ^{x} - 4 ^{x}}{x})

\frac{2 x + 3}{3 x + 2}

\int_{0}^{1} \frac{z}{( z ^{2} + 1 ) ^{3}} d z

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)}