# Algorithm for finding limits

Programs like Mathematica or Wolfram Alpha are able to calculate very complex limits with apparent ease. I'm trying to make my own program to compute limits. I've searched all over, but haven't found anything about how they do it. What algorithm can I use to compute limits?

• Think simple: The ε-δ definition of the limit – bolzano Jun 14 '16 at 16:49
• I presume you mean performing algebraic manipulations rather than generating numerical approximations, right? That cannot be a simple task and will probably require lots of programming and development. – String Jun 14 '16 at 17:54

• Admittedly, if you have an expression involving rounding or sin etc., things become much more difficult and I have no idea what Mathematica, Maple, etc. do there – probably some heuristics. But the exp–log case is already very powerful, and it can be treated systematically. – Manuel Eberl Dec 5 '18 at 16:33