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4 3. Let S = E(-1)n+11 and let S4 = E(-1)n+11. Then S4 < S since the next term in the series is positive. n=1 n=1

4 3. Let S = E(-1)n+11 and let S4 = E(-1)n+11. Then S4 < S since the next term in the series is positive. n=1 n=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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True or False 4 3. Let S = E(-1)n+11 and let S4 = E(-1)"+11. Then S4 < S since the next term in the series is positive. n n=1 n=1 13 4. Let S = E(-1)n+11 and let S13 E(-1)"+11. Then S13 < S since the next term in the series n=1 n=1 is negative. 7. If lan| < |bn| and E [bn| converges, then D |an| converges. n=1 n=1 8. If an| < |bn| and bn converges, then E an converges. n=1 n=1 19. If the power series anx" converges at x = 4, then it converges absolutely at x = -2. n=0 20. If the power series anx" converges at x = 4, then it converges at x = -4. n=0
Transcribed Image Text:True or False 4 3. Let S = E(-1)n+11 and let S4 = E(-1)"+11. Then S4 < S since the next term in the series is positive. n n=1 n=1 13 4. Let S = E(-1)n+11 and let S13 E(-1)"+11. Then S13 < S since the next term in the series n=1 n=1 is negative. 7. If lan| < |bn| and E [bn| converges, then D |an| converges. n=1 n=1 8. If an| < |bn| and bn converges, then E an converges. n=1 n=1 19. If the power series anx" converges at x = 4, then it converges absolutely at x = -2. n=0 20. If the power series anx" converges at x = 4, then it converges at x = -4. n=0
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