# A New Interpretation on the Limit of a Sequence

• Fangjie Cheng
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 163)

## Abstract

The limit of a sequence in advanced mathematics is the focus of the study and it is also the basis of solving some other mathematical problems. The commonly used method to solve the limit contains some basic methods, which are according to the monotonicity of function, using Stolz formula for the limit, using force line theorem, using the monotone bounded function, using the Cauchy criteria of convergence, using definite integral concept, using series expansion of the function and so on. While based on the above commonly used methods, this paper provides another two new solution by using the residue theorem and the squeeze theorem to solve the problem of sequence limit, which is rovides theoretical foundation to study the limit method.

## Keywords

New interpretation Sequence limit The squeeze theorem The residue theorem

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