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Mathematics
Problem
Let
g
(
x
)
=
1
2
−
5
x
g(x)=\dfrac{1}{2-5x}
g
(
x
)
=
2
−
5
x
1
. Determine the interval of convergence for the power series representation of
g
g
g
about
x
=
0
x=0
x
=
0
. a)
(
−
0.2
,
0.2
)
(-0.2,0.2)
(
−
0.2
,
0.2
)
b)
[
−
0.4
,
0.4
]
[-0.4,0.4]
[
−
0.4
,
0.4
]
c)
(
−
0.4
,
0.4
)
(-0.4,0.4)
(
−
0.4
,
0.4
)
d)
(
−
∞
,
0.4
)
(-\infty,0.4)
(
−
∞
,
0.4
)
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