e the Integral Test to determine whether the series is con n°e n = 1 aluate the following integral. -X хе dx
e the Integral Test to determine whether the series is con n°e n = 1 aluate the following integral. -X хе dx
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 whether the series is convergent or divergent.**
\[ \sum_{n=1}^{\infty} n^3 e^{-n^4} \]
**Evaluate the following integral.**
\[ \int_{1}^{\infty} x^3 e^{-x^4} \, dx \]
Below the integral is a symbol for infinity (∞) followed by a red "x," indicating that the integral diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F805df41e-b889-4c16-a267-318b4eb3cf21%2Fc6adfe05-3908-4562-880a-87df92ac9534%2Fbm8kzq8_processed.png&w=3840&q=75)
Transcribed Image Text:**Use the Integral Test to determine whether the series is convergent or divergent.**
\[ \sum_{n=1}^{\infty} n^3 e^{-n^4} \]
**Evaluate the following integral.**
\[ \int_{1}^{\infty} x^3 e^{-x^4} \, dx \]
Below the integral is a symbol for infinity (∞) followed by a red "x," indicating that the integral diverges.
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