Comment #24 on issue 2085 by asmeurer: Limit code severely broken. http://code.google.com/p/sympy/issues/detail?id=2085
Yes, you use l'Hopital's rule for that limit at 0, not infinity. Nicholas is correct with the bounded part. Just be careful with whatever rule you implement. Something I learned from real analysis: sometimes a rule will always be true when a limit exists, but it will sometimes also be true when the limit doesn't exist, giving you a false limit when you apply it.
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