Prove thatlimn→∞ln(1−3n)n=0
I knew that this is the indeterminate form 0/∞(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(1−3n)→ln1=0⟹ln(1−3n)n→0+∞=0
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