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Limit of a sequence
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Finding limits using areas
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Limits and continuity
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Motivation and knowledge
Calculus: Module 8
Limits and continuity
Motivation and knowledge
Content - Limit of a sequence
Content - Limiting sums
Content - Limit of a function at infinity
Content - Limit at a point
Content - Further examples
Content - Continuity
Content - Continuity of piecewise-defined functions
Links forward - Formal definition of a limit
Links forward - The pinching theorem
Links forward - Finding limits using areas
History and applications - Paradoxes of the infinite
History and applications - Pi as a limit
History and applications - Infinitesimals
History and applications - Cauchy and Weierstrass
Answers to exercises
References
