And to make sure we’ve covered what people want, we’ve sampled over a million limits from Wolfram|Alpha. We’ve leveraged many areas of the Wolfram Language to achieve this, and we’ve invented some completely new algorithms too. Mathematica and the Wolfram Language have always had capabilities for computing limits in Version 11.2, they’ve been dramatically expanded.
They’re also at the heart of calculus, not least since they’re used to define the very notions of derivatives and integrals. Limits are a central concept in many areas, including number theory, geometry and computational complexity. In Mathematica and the Wolfram Language, there’s a function to compute that: And here’s what their numerical values are:īut what is the limit of the sequence? What would one get if one continued the sequence forever?
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