Question

Help with limit

Answer 1

\[\lim_{x \rightarrow ∞}\ln(x-1)-\ln(x+2)\]

I know both part goes to infinity when x --> ∞. But is it then legal said
\[\lim_{x \rightarrow ∞}\ln(x-1)-\ln(x+2)=0\]

Answer 2

use a property of logarithms
before taking the limit

\[\large\boxed{\log_b p-\log_bq=\log_b\frac pq}\]

Answer 3

thank you