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ISC
MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra
Problem
lim
n
→
∞
1
2
n
+
2
2
(
n
−
1
)
+
3
2
(
n
−
2
)
+
⋯
+
n
2
⋅
1
1
3
+
2
3
+
3
3
+
⋯
+
n
3
\lim_{n\to\infty}\frac{1^2n+2^2(n-1)+3^2(n-2)+\dots+n^2\cdot1}{1^3+2^3+3^3+\dots+n^3}
lim
n
→
∞
1
3
+
2
3
+
3
3
+
⋯
+
n
3
1
2
n
+
2
2
(
n
−
1
)
+
3
2
(
n
−
2
)
+
⋯
+
n
2
⋅
1
is equal to (1)
1
3
\frac{1}{3}
3
1
(2)
2
3
\frac{2}{3}
3
2
(3)
1
2
\frac{1}{2}
2
1
(4)
1
6
\frac{1}{6}
6
1
Related theory
Special Series
Sequences and series
Special sums
Algebra
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