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Null sequence/R/1 by n^a/Exercise
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Let
k
∈
N
+
{\displaystyle {}k\in \mathbb {N} _{+}}
.
Prove that the sequence
(
1
n
k
)
n
∈
N
{\displaystyle {}{\left({\frac {1}{n^{k}}}\right)}_{n\in \mathbb {N} }}
converges to
0
{\displaystyle {}0}
.
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