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A topological definition of limit for use in elementary calculus. (English)
Coll. Math. J. 45, No. 4, 313-315 (2014).
Summary: We describe a topological definition of the limit that can be used as an alternative to the standard definition in elementary calculus. In particular, we replace intervals centered about the relevant quantities being approached in the domains and ranges of functions with arbitrarily small general open intervals about those quantities. In many cases, this simplifies the work of verifying specific limits and the verification of many of the basic limit properties.
Classification: I25 I95
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