Functions and Analysis


Derivation of the Limits of Sine and Cosine at Infinity

Authors: Jonathan W. Tooker

This paper examines some familiar results from complex analysis in the framework of hypercomplex analysis. It is usually taught that the oscillatory behavior of sine waves means that they have no limit at infinity but here we derive definite limits. Where a central element in the foundations of complex analysis is that the complex conjugate of a C-number is not analytic at the origin, we introduce the tools of hypercomplex analysis to show that the complex conjugate of a *C-number is analytic at the origin.

Comments: 5 Pages. two figures

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Submission history

[v1] 2018-06-08 02:35:12
[v2] 2018-06-09 05:42:18
[v3] 2018-07-26 19:07:43

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