Abstract
Methodological aspects of teaching the section "limit of sequence and function" in a technical university are discussed. The application of various necessary convergence conditions to justify the absence of a sequence limit is considered. The applications of sufficient conditions to justify convergence and to calculate the limit of the sequence are discussed. The methods of finding the limit of recurrent sequences converging to a fixed point are analyzed. The application of the Lipschitz condition, which guarantees the convergence of a recurrent sequence, is analyzed.
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