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Mathematics
Mathematics
Problem
The value of
lim
n
→
∞
(
n
!
n
n
)
2
n
4
+
1
5
n
5
+
1
\lim_{n \to \infty} \left( \frac{n!}{n^n} \right)^{\frac{2n^4+1}{5n^5+1}}
lim
n
→
∞
(
n
n
n
!
)
5
n
5
+
1
2
n
4
+
1
is equal to a.
e
e
e
b.
2
e
\frac{2}{e}
e
2
c.
(
1
e
)
2
\left(\frac{1}{e}\right)^2
(
e
1
)
2
d. None of these
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