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

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

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

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

e

Decimal Notation

2.71828 \dots

Solution steps

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

Apply the common limit:

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

= e

n = 1 \sum \infty n^{- \frac{1}{2}}

y = \frac{x ^{4}}{1 - x ^{3}}

x \to 5 + lim (\frac{x - 6}{x - 5})

\int 5 x^{- 6} d x

\frac{1}{8}

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