Reference no: EM131139403
1. Find the exact sum of the convergent series n=0∑∞7(2/3)n.
2. True or false: The series n=0∑∞(10/5n) is divergent. Justify your answer.
3. Use the Integral Test to determine the convergence or divergence of the series:
n=0∑∞n/(n2 +1)3
4. True or false: The series n=2∑∞(-1)n/3n is divergent. Justify your answer.
5. Use the Ratio Test to determine the convergence or divergence of the series:
n=1∑∞(n!/(n2)(8n))
6. Determine the convergence or divergence of the series using any appropriate test from this chapter. Show all work and identify the test used.
n=1∑∞((-1)n3/5n2)
7. Determine the convergence or divergence of the series using any appropriate test from this chapter. Show all work and identify the test used.
n=1∑∞4n/9n+5
8. Find the Maclaurin polynomial of degree 4 for the function f (x) = e3x.
9. Find the interval of convergence of the power series n=1∑∞((-1)n(x-4)n/(n2)(3n)). (Be sure to check for convergence al the endpoints of the interval.)
10. Find a geometric power series for the function f (x) = (6/2-x), centered at 0.
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Find the exact sum of the convergent series
: Find the exact sum of the convergent series n=0∑∞7(2/3)n. True or false: The series n=0∑∞(10/5n) is divergent. Justify your answer
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