Prove thatlim
I knew that this is the indeterminate form 0/\infty(Actually it isn't, so I made a dumb mistake) that should be zero but was unable to prove it. I haven't tried using the definition yet because I feel that's too cumbersome?
Answer
Note that the limit is not an indeterminate form, indeed:
\ln \left(1- \frac{3}{n}\right)\to \ln 1=0 \implies \frac{\ln (1- \frac{3}{n})}{n}\to\frac{0}{+\infty}=0
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