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Section 1.3

Please post comments if you find any errors, or if you wish to contribute answers for additional problems. You may find information on using \LaTeX here.

1. (a) \displaystyle{\sum_{n=1}^\infty \left(\frac{1}{3}\right)^{n-1} = \frac{3}{2}}

(c) \displaystyle{\sum_{n=1}^\infty \left(\frac{2}{5^n}\right) = \frac{1}{2}}

(e) \displaystyle{\sum_{n=1}^\infty 7\left(\frac{1}{3}\right)^n\frac{2}{5}^{n-1} = \frac{35}{13}}

(g) Does not converge

(i) Does not converge

(k) Does not converge

(m) \displaystyle{\sum_{n=1}^\infty \sin(n\pi) = 0}

(n) Does not converge

3. (a) \pi

(b) 99

5. (a) 10 billion dollars

(c) \dfrac{A}{1 - r} dollars

7. 70 meters; \dfrac{50}{3} meters

9. \dfrac{4}{9}

11. 83 terms for a partial sum larger than 5 ; 12,367 terms for a partial sum larger than 10

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This entry was posted on 4 July 4 2007 at 4:37 pm and is filed under Section 1.3. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

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