Class Notes Unit 3, Limits and Continuity of Mathematics 4: Pre-calculus for high school students 20-30 I downloaded from ...
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Informally, the fact that a function f has a limit point L c , 
means that the value of f can be as close to L as desired by taking sufficiently nearby to c , but other than c .
means that the value of f can be as close to L as desired by taking sufficiently nearby to c , but other than c . The limit of a function is a fundamental concept of differential calculus. Although implicit in the development of the calculus of the seventeenth and eighteenth centuries, the modern notation of the limit of a function goes back to Bernard Bolzano who, in 1817, introduced the foundations of the epsilon-delta technique. However, his work was not known while he was alive. Augustin Louis Cauchy limits stated in his Cours d'Analyse "(1821) and appears expressing the essence of the idea, but not in a systematic way. The first rigorous presentation of the technique made public was given by Karl Weierstrass in the 1850 and 1860 and has since become the standard method for working with limits. The notation for writing using the abbreviation Lim with the arrow below is due to Godfrey Harold Hardy in his book "A Course of Pure Mathematics in 1908.
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