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VTRMC
2011 VTRMC
Problem 3
infinite factorial sum
infinite factorial sum
Source: VTRMC 2011 P3
May 14, 2021
factorial
Summation
real analysis
Problem Statement
Find
∑
k
=
1
∞
k
2
−
2
(
k
+
2
)
!
\sum_{k=1}^\infty\frac{k^2-2}{(k+2)!}
∑
k
=
1
∞
(
k
+
2
)!
k
2
−
2
.
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