+00 (x+7)" ITEMS: Consider the power series n=2 2" Vn2 – 1' 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.
+00 (x+7)" ITEMS: Consider the power series n=2 2" Vn2 – 1' 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.
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Transcribed Image Text:+00
(x+7)"
2" Vn2 – 1"
ITEMS: 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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