Answer: It appears that the terms of the series are less than the corresponding terms of
Chapter 9, Problem 54(choose chapter or problem)
It appears that the terms of the series
\(\frac{1}{1000}+\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+\cdots\)
are less than the corresponding terms of the convergent series
\(1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+\cdots\)
If the statement above is correct, the first series converges. Is this correct? Why or why not? Make a statement about how the divergence or convergence of a series is affected by inclusion or exclusion of the first finite number of terms.
Text Transcription:
1/1000 + 1/1001 + 1/1002 + 1/1003 + cdots
1 + 1/4 + 1/9 + 1/16 + cdots
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