Find the limit of the sequence: a_n=\frac{8n^{2}+1n+1}{7n^{2}+9n+9}

osula9a

osula9a

Answered question

2022-01-04

Find the limit of the sequence:
an=8n2+1n+17n2+9n+9

Answer & Explanation

Raymond Foley

Raymond Foley

Beginner2022-01-05Added 39 answers

We have
an=8n2+1n+17n2+9n+9
Take n2 to be the common
an=n2(8+nn2+1n2)n2(7+9nn2+9n2)
an=8+1n+1n27+9n+9n2
Apply limit
limnan=limn8+1n+1n27+9n+9n2
as n, 1n0
n, 1n20
n, 9n0
n, 9n20
limnan=8+0+07+0+0
=87

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