Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![**Find the limit.**
\[
\lim_{{x \to -\infty}} (x^8 + x^9)
\]
The given expression evaluates the limit as \( x \) approaches negative infinity.
**Explanation:**
- \( x^8 \) is an even power, resulting in a positive value as \( x \) goes to minus infinity.
- \( x^9 \) is an odd power, resulting in a negative value.
As \( x \to -\infty \), the dominant term is \( x^9 \), thus making the limit approach \( -\infty \).
The provided answer \( \infty \) is incorrect, as indicated by the red cross.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9da817a5-8a9a-4e45-b344-71e5fd3c3d76%2Fc6b4ad9f-a49b-4a0b-acd7-4172314cb7e9%2F2uhm7b_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the limit.**
\[
\lim_{{x \to -\infty}} (x^8 + x^9)
\]
The given expression evaluates the limit as \( x \) approaches negative infinity.
**Explanation:**
- \( x^8 \) is an even power, resulting in a positive value as \( x \) goes to minus infinity.
- \( x^9 \) is an odd power, resulting in a negative value.
As \( x \to -\infty \), the dominant term is \( x^9 \), thus making the limit approach \( -\infty \).
The provided answer \( \infty \) is incorrect, as indicated by the red cross.
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