Chapter 7: Q. 21 (page 656)
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Short Answer
<img src="https://latex.codecogs.com/svg.image?1/90" title="https://latex.codecogs.com/svg.image?1/90" /> or 0.011
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Chapter 7: Q. 21 (page 656)
\[ https://latex.codecogs.com/svg.image?8!\frac{\frac{}{}}{10!}\]
<img src="https://latex.codecogs.com/svg.image?1/90" title="https://latex.codecogs.com/svg.image?1/90" /> or 0.011
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Determine whether the series converges or diverges. Give the sum of the convergent series.
For a convergent series satisfying the conditions of the integral test, why is every remainder positive? How can be used along with the term from the sequence of partial sums to understand the quality of the approximation ?
Explain why, if n is an integer greater than 1, the series diverges.
Improper Integrals: Determine whether the following improper integrals converge or diverge.
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
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