Question

Find the limit of the sequence an= ln(9n+7) - ln(n)

Answer 1

I said it would Diverge, but it's incorrect hahaha

Answer 2

does it help to know that
\[\ln(9n+7)+\ln(n)=\ln\left(\frac{9n+7}{n}\right)\]?

Answer 3

oops

Answer 4

oh yes

Answer 5

negative that's okay

Answer 6

\[\ln(9n+7)-\ln(n)=\ln\left(\frac{9n+7}{n}\right)\]

Answer 7

converge to ln (9)

Answer 8

yes

Answer 9

thank you very much :)

Answer 10

I would say 9n+7 is approximately 9n for large n
ln(9n/n)=ln(9)
:)

Answer 11

Good point there