Find the following limits: x2 +x - 6 lim x-2 |r - 2| lim x2 - 4 Note that the second limit above is a one-sided limit! r2- x2-4
Find the following limits: x2 +x - 6 lim x-2 |r - 2| lim x2 - 4 Note that the second limit above is a one-sided limit! r2- x2-4
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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![Find the following limits:
\[ \lim_{x \to 2} \frac{x^2 + x - 6}{x^2 - 4}, \quad \lim_{x \to 2^-} \frac{|x - 2|}{x^2 - 4}. \]
Note that the second limit above is a one-sided limit!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bf7da54-5138-4b57-a0f9-aec30fa8e8cf%2Fe244b775-eb95-46a1-8f42-a0bd719c4198%2Fbddma97_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the following limits:
\[ \lim_{x \to 2} \frac{x^2 + x - 6}{x^2 - 4}, \quad \lim_{x \to 2^-} \frac{|x - 2|}{x^2 - 4}. \]
Note that the second limit above is a one-sided limit!
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