Determine whether the sequences is convergent or

fsrlaihq55

fsrlaihq55

Answered question

2022-03-25

Determine whether the sequences is convergent or divergent
an=ln(2n2n+12n2+10n7)
an=2nn!

Answer & Explanation

aznluck4u72x4

aznluck4u72x4

Beginner2022-03-26Added 16 answers

1)an=ln(2n2n+12n2+10n7)
limnan=limnln(2n2n+12n2+10n7)
=limnln(n2(21n+1n2)n2(2+10n7n2))
=limnln(21n+1n22+10n7n2)
Substitute n=
=ln(21+12+107)
=ln(22)=ln1=0
Thus, the sequence converges

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