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Do 1 . z H7=%. 11:1 00 1 Z m=. 71:0 00 DO Assume that 0 oo 7 :1 00 does 2 an. n=1 00

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Do 1 . z H7=%. 11:1 00 1 Z m=. 71:0 00 DO Assume that 0 oo 7" \":1 00 does 2 an. n=1 00 The series 2 Hip converges if and only if p > 1. 71:1 00 1 ' . _ The Integral Test shows that \"22 W converges if p > 1. k . _ The Integral Test shows that 1n(k + 1) S 2 % S 1 +1n(k). n=1 I100 allp d3: converges if p > 1. Even when we know that a series converges. most of the time it is difcult or even impossible to nd its sum

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