Re: What's wrong with Integrate [ 1/x, {x,1,Infinity}]?

*To*: mathgroup at smc.vnet.net*Subject*: [mg66565] Re: What's wrong with Integrate [ 1/x, {x,1,Infinity}]?*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>*Date*: Sat, 20 May 2006 04:47:21 -0400 (EDT)*References*: <e4jucn$d6u$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Hi, because Mathematica make a test, that the result converges to a finite number. And it tells you Integrate::idiv Integral of 1/x does not converge on {1, Infinity}. Regards Jens Pavel Pokorny wrote: > Dear Mathematica friends > > what is the reason Mathematica 5.2 does not compute > > In[1]:= Integrate [ 1/x, {x,1,Infinity}] > > 1 > Integrate::idiv: Integral of - does not converge on {1, Infinity}. > x > > 1 > Out[1]= Integrate[-, {x, 1, Infinity}] > x > > while this works: > > In[2]:= Limit [ Integrate [ 1/x, {x,1,b}], b->Infinity] > > Out[2]= Infinity > > I always thought the first formulation > is just a shorthand of the second one, > being equivalent in its meaning. >