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7. k=1 8. Σιγκ

7. k=1 8. Σιγκ

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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Question
7 and 8 please
k=1 8. k=1 k√k
Transcribed Image Text:k=1 8. k=1 k√k
Objectives: To determine if a series converges or diverges using the Integral test or P-test; Estimate a sum of an infinite series. Notes: An integral does not need to start at 1. The function doesn't need to always be decreasing; it just needs to be decreasing starting at some value of x greater than 1. Determine if the following series converge or diverge. You may use any of the tests learned so far. Sometimes it's good to do a quick divergence test before doing other things. Be sure to always (1) name the test you use, (2) clearly show the work you did performing the test, (3) state your conclusion. Don't forget, you must determine that the function is continuous, positive and decreasing before you use the Integral Test. 1. Σn-√2 n=1 F2 2. n+1 n=1 n+2
Transcribed Image Text:Objectives: To determine if a series converges or diverges using the Integral test or P-test; Estimate a sum of an infinite series. Notes: An integral does not need to start at 1. The function doesn't need to always be decreasing; it just needs to be decreasing starting at some value of x greater than 1. Determine if the following series converge or diverge. You may use any of the tests learned so far. Sometimes it's good to do a quick divergence test before doing other things. Be sure to always (1) name the test you use, (2) clearly show the work you did performing the test, (3) state your conclusion. Don't forget, you must determine that the function is continuous, positive and decreasing before you use the Integral Test. 1. Σn-√2 n=1 F2 2. n+1 n=1 n+2
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