#MathsInMinutes Day 37: Limits

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The limit of an infinite sequence or series, if it exists, is the single value approached as the number of terms in that list or sum tends to infinity. The process of taking limits allows us to make sense of the infinite process by taking a series of approximations and then determining whether the sequence of answers approaches ever closer to a single answer.

Taking limits is an important way of dealing with never-ending of infinite processes, and is absolutely fundamental to mathematics. Though it was used by the Greeks, to calculate approximations of π among other things, and by Isaac Newton, it was not fully formalized until the late 19th century.

Now the backbone of many areas of mathematics, limits are principally used in the field of analysis, when studying mathematical functions, the relationship between variables or the development of calculus.

Have we reached the limit of our evolution?

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