Indicate the least integer n for which (3x⁰+2x²)(x³ +3x) x+14x € 0(x¹).
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
![Indicate the least integer \( n \) for which
\[
\frac{(3x^6 + 2x^2)(x^3 + 3x)}{x^4 + 14x} \in \mathcal{O}(x^n).
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faad9e4ed-ed50-4fe3-96ca-72ed3d364f6f%2Fea5ade83-aa39-4cf1-9def-23f2d573df93%2F6iqodbq_processed.png&w=3840&q=75)
Transcribed Image Text:Indicate the least integer \( n \) for which
\[
\frac{(3x^6 + 2x^2)(x^3 + 3x)}{x^4 + 14x} \in \mathcal{O}(x^n).
\]
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