Prove that <munder> <mo movablelimits="true" form="prefix">lim <mrow class="MJX-TeXAtom-

Cooper Doyle

Cooper Doyle

Answered question

2022-07-07

Prove that
lim n + ( 1 n 1 n + 1 ) = 0

Answer & Explanation

Valeria Wolfe

Valeria Wolfe

Beginner2022-07-08Added 11 answers

you have
1 n 1 n + 1 = 1 n ( n + 1 )
and
0 1 n ( n + 1 ) 1 n 2
then because
lim n + 1 n 2 = 0
we have lim n + ( 1 n 1 n + 1 ) = 0

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