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We might surmise (correctly) that the existence of a limit is important to continuity. Graph 3 In this graph , $$\displaystyle\lim\limits_{x\to a} f(x) = L$$, but the function is undefined .

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Another word for continuity. Find more ways to say continuity, along with related words, antonyms and example phrases at Thesaurus.com, the world's most trusted free thesaurus.

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Limits and continuity notes

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limit discontinuous function infinite discontinuity jump discontinuity removable discontinuity nonremovable discontinuity end behavior 24 I Lesson 1-3 Use limits to determine the continuity of a function, and apply the Intermediate Value Theorem to continuous functions. Use limits to describe end behavior of functions. Since the early 1980s, the

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Continuity is defined by limits. Limits are simple to compute when they can be found by plugging the value into the function. That is, when We call this property continuity .

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BibTeX @MISC{Clark_math2400, author = {Pete L. Clark}, title = {MATH 2400 LECTURE NOTES: CONTINUITY AND LIMITS}, year = {}}