On Tuesday, March 28, 2017 at 1:45:54 PM UTC-4, kcrisman wrote:
>
>
>
> On Tuesday, March 28, 2017 at 10:15:19 AM UTC-4, Mjx121418 wrote:
>>
>> limit(harmonic_number(n)/n,n=+oo)
>>
>>
>> <https://lh3.googleusercontent.com/-s1M0o8FGXyY/WNpb102hi4I/AAAAAAAAADU/7aPh3KaUnvMkC-XI0upFezdt4cLFKB3ewCLcB/s1600/%25E5%25B1%258F%25E5%25B9%2595%25E5%25BF%25AB%25E7%2585%25A7%2B2017-03-28%2B20.48.43.png>
>>
>> I think it is obvious that this limit should be 0, but why can't sage 
>> solve it?
>>
>
> Harmonic number is probably not implemented in Maxima?  However, Sympy can 
> do at least some limits with it - see 
> http://docs.sympy.org/dev/modules/functions/combinatorial.html#harmonic 
>

And it apparently can do this one, so  indeed

http://sagecell.sagemath.org/?z=eJwrSyzSUM9T1-TlysnMzSzRyEgsys3Py0yOzyvNTUot0sjT1M_TybPVzs_XScxJzy_KLMnItVUvrswtqFTXBAB-1RUT&lang=sage

var('n')
limit(harmonic_number(n)/n,n=+oo,algorithm='sympy')

returns zero.  See https://trac.sagemath.org/ticket/22700 for a related 
ticket.

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