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Question Number 54992 by Mikael_Marshall last updated on 15/Feb/19

lim_(n→∞) ((√(n^3 +n^2 +n+1))−n)

limn(n3+n2+n+1n)

Answered by kaivan.ahmadi last updated on 15/Feb/19

×(((√(n^3 +n^2 +n+1))+n)/((√(n^3 +n^2 +n+1))+n))=lim_(n→∞) ((n^3 +n+1)/((√(n^3 +n^2 +n+1))+n))≈  lim_(n→∞) (n^3 /n^(3/2) )=∞

×n3+n2+n+1+nn3+n2+n+1+n=limnn3+n+1n3+n2+n+1+nlimnn3n32=

Answered by tm888 last updated on 16/Feb/19

=∞

=

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