lim n→∞ n/√(2n+1)(n+1)=
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limn→∞n/√(2n+1)(n+1)=limn→∞n/√(2n+1)(n+1)=limn→∞n/√(2n+1)(n+1)=limn→∞n/√(2n+1)(n+1)=limn→∞1/√(2+1/n)
lim n→∞ n/√(2n+1)(n+1)=
lim n→∞ n/√(2n+1)(n+1)=
lim n→∞ n/√(2n+1)(n+1)=
lim n→∞ n/√(2n+1)(n+1)
=lim n→∞ 1/√(2+1/n)(1+1/n)=1/2
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