Converge Detroit Schedule

Upcomming Converge Detroit Events:

• Converge tickets in Detroit, MI at Majestic Theatre on Tuesday October 16, 2012.
• Converge tickets in Detroit, MI at Magic Stick on Saturday May 8, 2010.

Converge Detroit 2013 - See it Before it's sold out!

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Did You Know?

In other words, f(x) becomes closer and closer to L as x moves closer and closer to p.

If it does, then the value of f at p is irrelevant to the definition of the limit.

Let (a,b) be an open interval in R, and p a point of (a,b).

Cauchy discussed limits in his Cours d'analyse (1821) and gave essentially the modern definition, but this is not often recognized because he only gave a verbal definition.

If f : M → N is a function between metric spaces M and N, then it is equivalent that f transforms every sequence in M which converges towards p into a sequence in N which converges towards f(p).If N is a normed vector space, then the limit operation is linear in the following sense: if the limit of f(x) as x approaches p is L and the limit of g(x) as x approaches p is P, then the limit of f(x) + g(x) as x approaches p is L + P.

Formal definitions, first devised in the early 19th century, are given below.Although implicit in the development of calculus of the 17th and 18th centuries, the modern notion of the limit of a function goes back to Bolzano who, in 1817, introduced the basics of the epsilon-delta technique to define continuous functions.