ln( 1+n)/n & gt； Ln(n)/n ... As long as the divergence of ln(n)/n is proved, the divergence of ln( 1+n)/n can be proved. lim[ln(n)/n)/( 1/n)]= lim(ln(n))=+∞。 According to XX criterion (I forgot, I learned it last year), we can know that the sequence 1/n diverges (this is one of the sequences that should be remembered). . So ln( 1+n)/n diverges (small divergence, big divergence is certain). .

I don't remember what I learned last year. I can't guarantee that it is correct, but it must be done.