Determine whether the sequence converges or diverges. If it converges, find the

sanuluy

sanuluy

Answered question

2021-11-01

Determine whether the sequence converges or diverges. If it converges, find the limit. an=3+5n2n+n2

Answer & Explanation

Benedict

Benedict

Skilled2021-11-02Added 108 answers

We will divide numerator and denominator with n2("highest power") and then use limit laws. We get
limn+an=limn+3+5n2n+n2
=limn+3n2+5n2n2nn2+n2n2
=limn+3n2+51n+1
=0+50+1=5
Result limn+an=5

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