Level:
Project ID:
9000064009
Source Problem:
Accepted:
1
Clonable:
1
Easy:
0
Find the limit of the following sequence.
\[
{\left({\Bigl (\frac{\root{n}\of{2}}
{n} + \root{n}\of{2}\Bigr )}^{n}\right)}_{
n=1}^{\infty }
\]
Hint: The limit of the sequence \({\bigl ({\bigl (1 + \frac{1}
{n}\bigr )}^{n}\bigr )}_{n=1}^{\infty }\)
is the Euler number \(\mathrm{e}\).
\(2\mathrm{e}\)
\(\mathrm{e}^{2}\)
\(\mathrm{e} + 2\)
\(\infty \)
Fixed Answer:
Last Fixed