Integration plays a key role in the study of sequences and series from "summary" of Skills in Mathematics - Integral Calculus for JEE Main and Advanced by Amit M Agarwal
The concept of integration is fundamental in understanding sequences and series in mathematics. By applying integration techniques, we are able to analyze the behavior and properties of various types of sequences and series. Integration allows us to calculate sums of infinite series, determine convergence or divergence of sequences, and establish relationships between different mathematical expressions. In the study of sequences, integration helps us evaluate the limit of a sequence by transforming it into a continuous function. This transformation simplifies the analysis of sequences and provides insights into their convergence properties. Integration also enables us to approximate the sum of an infinite series by finding the area under a curve represented by the series. When...
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