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Zero sequence/Q/2 divided by 3x+5/Effort number/Exercise
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Determine for the sequence
x
n
:=
2
3
n
+
5
{\displaystyle {}x_{n}:={\frac {2}{3n+5}}\,}
and
ϵ
=
1
10
,
1
100
,
1
1000
,
1
10000
,
…
,
{\displaystyle {}\epsilon ={\frac {1}{10}},\,{\frac {1}{100}},\,{\frac {1}{1000}},\,{\frac {1}{10000}},\ldots \,,}
for which (minimal)
n
{\displaystyle {}n}
the estimate
x
n
≤
ϵ
{\displaystyle {}x_{n}\leq \epsilon \,}
holds.
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