Prove that limn→∞1n2=0

tripplek7i

tripplek7i

Answered

2022-01-24

Prove that limn1n2=0

Answer & Explanation

marzembreax

marzembreax

Expert

2022-01-25Added 13 answers

Use the definition of convergent
limn1n2=0
Let ϵ be any positive number
We have to show that |1n20|<ϵ
Now, take NN, 1ϵ<N, then
n>N(ie.1n<1N)
and |1n20|=|1n2|=1n2<1N<ϵ
(1n2 is always positive)
Hence, |1n20|<ϵ
limn1n2=0

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