Using a p -Series Ten terms are used to approximate a convergent p-series. Therefore, the remainder is a function of p and is
(a) Perform the integration in the inequality.
(b) Use a graphing utility to represent the inequality graphically.
(c) Identify any asymptotes of the remainder function and interpret their meaning.
To calculate: Perform integration in the inequality .
Ten terms are used for approximation of a convergent p-series and calculated remainder is a function of p
Certain conditions need to be met for applying integral test
Formula used for Integral test:
Differentiation of ,
Using integral test,
To graph: Use graphing utility to graph the inequality .
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