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Lebl-Basic-Analysis-I
· Problem 5.4.5
The Riemann Integral
Mathematics · logarithm-exponential
Problem
Show
e
x
=
lim
n
→
∞
(
1
+
x
n
)
n
.
e^x = \lim_{n\to\infty} \left(1 + \frac{x}{n}\right)^n.
e
x
=
n
→
∞
lim
(
1
+
n
x
)
n
.
Hint: Take the logarithm.
Related theory
The Complex Exponential And Logarithm
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