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lim
n
→
∞
n
−
1
2
(
1
+
1
n
)
⋅
(
1
1
⋅
2
2
⋅
3
3
…
n
n
)
1
n
2
\lim_{n \to \infty} n^{-\frac{1}{2}(1+\frac{1}{n})} \cdot (1^1 \cdot 2^2 \cdot 3^3 \dots n^n)^{\frac{1}{n^2}}
lim
n
→
∞
n
−
2
1
(
1
+
n
1
)
⋅
(
1
1
⋅
2
2
⋅
3
3
…
n
n
)
n
2
1
…
Mathematics
Problem
lim
n
→
∞
n
−
1
2
(
1
+
1
n
)
⋅
(
1
1
⋅
2
2
⋅
3
3
…
n
n
)
1
n
2
\lim_{n \to \infty} n^{-\frac{1}{2}(1+\frac{1}{n})} \cdot (1^1 \cdot 2^2 \cdot 3^3 \dots n^n)^{\frac{1}{n^2}}
lim
n
→
∞
n
−
2
1
(
1
+
n
1
)
⋅
(
1
1
⋅
2
2
⋅
3
3
…
n
n
)
n
2
1
is equal to a.
e
\sqrt{e}
e
b.
1
e
\frac{1}{\sqrt{e}}
e
1
c.
1
e
4
\frac{1}{\sqrt[4]{e}}
4
e
1
d.
e
4
\sqrt[4]{e}
4
e
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