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Use the integral test to determine if the series 1 e converges or diverges. Type an upper case D or C for divergence or convergence as your answer. Verify for your self that the test applies.

Use the integral test to determine if the series 1 e converges or diverges. Type an upper case D or C for divergence or convergence as your answer. Verify for your self that the test applies.

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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Use the integral test to determine if the series 1 e- 8 n=1 -n converges or diverges. Type an upper case D or C for divergence or convergence as your answer. Verify for your self that the test applies.
Transcribed Image Text:Use the integral test to determine if the series 1 e- 8 n=1 -n converges or diverges. Type an upper case D or C for divergence or convergence as your answer. Verify for your self that the test applies.
Expert Solution
Step 1: Definitions

We apply the integral test when our function is monotonic decreasing and non negative.

If the value of integration in the domain is finite then we say our series is convergent otherwise series is divergent

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