Math Foundations/B/100

109. Logical difficulties with the modern theory of limits (I)
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 * Earlier practitioners of calculus relied on notions of movement or motion, and infinitesimals.
 * 19th century => new concept of 'limits' was introduced by Bolzano, Cauchy, and Weierstrauss
 * This concept is today almost universally seen as rigorous, but it is not :-(

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There are different, but related, notions of limits in Elementary Analysis:
 * Limit of a sequence
 * Infinite limit of a sequence
 * Limit of a function
 * Infinite limit of a function
 * Other types of limits

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Definition: