Re: Limit bug in Calculus\Limit ???

*To*: mathgroup at smc.vnet.net*Subject*: [mg8523] Re: [mg8488] Limit bug in Calculus\Limit ???*From*: David Withoff <withoff>*Date*: Thu, 4 Sep 1997 02:20:22 -0400*Sender*: owner-wri-mathgroup at wolfram.com

> I am using Mma 3.0 on a NextStep 3.3 PentiumPro Intel machine; I > have also successfully reproduced the problem on a Sparc running Mma > 3.0. > > The following command > > Limit[E^(2/y),y->0] > > returns the correct answer "infinity" when the Calculus`Limit` > package IS NOT loaded. When the Limit package IS_loaded (which I had > thought meant even more functionality), I incorrectly obtain "0" as > the answer. > > Why is the Limit.m generating an incorrect answer? Is this a known > bug? And if so, is there a list of known bugs that a user can > access? Actually, since this limit depends on direction, both answers are arguably correct. In[1]:= Limit[E^(2/y), y -> 0, Direction -> 1] Out[1]= 0 In[2]:= Limit[E^(2/y), y -> 0, Direction -> -1] Out[2]= Infinity The Calculus`Limit` package installs different functionality, rather than adding more functionality. That is, the Calculus`Limit` package removes the built-in Limit function, and replaces it with a different function and with a different algorithm. Additional information about this can be found by reading the Calculus`Limit` package, or in the technical support section of the Wolfram Research web site. Dave Withoff Wolfram Research