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Mathematics
Mathematics
Problem
For
x
>
0
x > 0
x
>
0
, the power series
1
−
x
2
3
!
+
x
4
5
!
−
x
6
7
!
+
⋯
+
(
−
1
)
n
x
2
n
(
2
n
+
1
)
!
+
⋯
1 - \frac{x^2}{3!} + \frac{x^4}{5!} - \frac{x^6}{7!} + \cdots + (-1)^n \frac{x^{2n}}{(2n+1)!} + \cdots
1
−
3
!
x
2
+
5
!
x
4
−
7
!
x
6
+
⋯
+
(
−
1
)
n
(
2
n
+
1
)!
x
2
n
+
⋯
converges to which of the following?
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