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Radius of Convergence
hard
Difficulty: hard
Σ Sequences & Series
·
22 pts
·
1 solved
Radius of Convergence
Problem Statement
Find the radius of convergence of
∑
n
=
0
∞
x
n
n
!
\text{Find the radius of convergence of } \sum_{n=0}^{\infty} \frac{x^n}{n!}
Find the radius of convergence of
n
=
0
∑
∞
n
!
x
n
Your Answer (variable: x)
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Tips
Use standard math syntax:
^
for powers,
*
for multiplication.
Functions: sin, cos, tan, exp, log (natural log), sqrt.
Constants: pi, e.
For antiderivatives you can omit "+ C".
