The Limit of a Real Function at a Point

Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990 Association of Mizar Users

The Limit of a Real Function at a Point

Jaroslaw Kotowicz: Warsaw University, Bialystok
Supported by RPBP.III-24.C8.

Summary.

We define the proper and the improper limit of a real function at a point. The main properties of the operations on the limit of function are proved. The connection between the one-side limits and the limit of function at a point are exposed. Equivalent Cauchy and Heine characterizations of the limit of real function at a point are proved.

MML Identifier: LIMFUNC3

The terminology and notation used in this paper have been introduced in the following articles [13] [15] [2] [14] [4] [1] [16] [3] [11] [6] [5] [12] [9] [10] [7] [8]

Contents (PDF format)

Bibliography

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Received September 5, 1990

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