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Mathematics
Mathematics
Problem
Consider the power series
∑
n
=
0
∞
(
x
−
3
)
n
5
n
\displaystyle\sum_{n=0}^{\infty}\dfrac{(x-3)^{n}}{5^{n}}
n
=
0
∑
∞
5
n
(
x
−
3
)
n
. Which of the following values of
x
x
x
is guaranteed to make the series converge? a)
8
8
8
b)
−
3
-3
−
3
c)
1
1
1
d)
10
10
10
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