Limit and Continuity Revisited via Convergence
Jitender Singh, Harpreet K. Grover
Asian Research Journal of Mathematics · pp. 1–16 · Published 23 Dec 2017
10.9734/ARJOM/2017/38382Abstract
We derive some of the standard results on limits of elementary functions defined on subsets of real-line, whose rigorous proofs are often avoided in the routine teaching and learning of calculus. For proofs, we essentially follow the Weierstrass's systematized modern formalization of Cauchy's idea of transforming the concept of limit into "the algebra of inequalities".
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