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Navigating the Study of Modern Analysis by Arumugam and Isaac modern+analysis+by+arumugam+isaac+pdf+download+better

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The most difficult part of analysis is the $\epsilon-\delta$ definition of limits. Arumugam & Isaac provides a "Working Rule" section. Download the PDF, open it on your phone, and attempt the 20+ examples on limits. The PDF allows you to zoom in on the algebraic manipulations.