Level:
Project ID:
2010005303
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Find the limit of the following sequence.
\[
{\left(\frac{(n^{2} + 4n + 4)^{n}}
{n^{2n}} \right)}_{n=1}^{\infty }
\]
Hint: The limit of the sequence \({\left({\left(1 + \frac{2}
{n}\right)}^{n}\right)}_{n=1}^{\infty }\)
is \(\mathrm{e}^2\), where \(\mathrm{e}\) is the Euler number.
\(\mathrm{e}^{4}\)
\(\mathrm{e}+4\)
\(4\mathrm{e} \)
\(\infty \)
Fixed Answer:
Last Fixed