(x + 7)" 2n Vn2 – 1 Consider the power series > n=2 1. Use Limit Comparison Test to show that the series diverges when x = -5. 2. Use Alternating Series Test to show that the series converges when x = -9. 3. Is the convergence of the series at x = -9 absolute or conditional? Explain why. 4. Determine the radius and interval of convergence of the power series.
(x + 7)" 2n Vn2 – 1 Consider the power series > n=2 1. Use Limit Comparison Test to show that the series diverges when x = -5. 2. Use Alternating Series Test to show that the series converges when x = -9. 3. Is the convergence of the series at x = -9 absolute or conditional? Explain why. 4. Determine the radius and interval of convergence of the power series.
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Transcribed Image Text:(x + 7)"
2n Vn2 – 1
Consider the power series >
n=2
1. Use Limit Comparison Test to show that the series diverges when x = -5.
2. Use Alternating Series Test to show that the series converges when x
-9.
3. Is the convergence of the series at x = -9 absolute or conditional? Explain why.
4. Determine the radius and interval of convergence of the power series.
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