Level:
Project ID:
2010005304
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Find the limit of the following sequence.
\[
{\left({\left( \root{n}\of{0.5}+\frac{\root{n}\of{0.5}}
{n} \right)}^{n}\right)}_{
n=1}^{\infty }
\]
Hint: The limit of the sequence \({\left({\left(1 + \frac{1}
{n}\right)}^{n}\right)}_{n=1}^{\infty }\)
is the Euler number \(\mathrm{e}\).
\(\frac12 \mathrm{e}\)
\(\mathrm{e}^{\frac12}\)
\(\frac12 + \mathrm{e} \)
\(\infty \)
Fixed Answer:
Last Fixed