
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![**Problem Statement:**
Determine the interval(s) where \( H(x) \) is continuous. Combine multiple intervals with the union symbol. Write the exact answer. Do not round.
\[
H(x) = \cos \left( \frac{2\ln(x - 2) + 1}{\sqrt[3]{x^2 - 4x - 12}} \right)
\]](https://content.bartleby.com/qna-images/question/8fa35088-fa5f-472d-877a-bca1a109875f/37893518-f6a5-4bf9-bae4-ec3f5011fa62/ebceuw2_thumbnail.png)
Transcribed Image Text:**Problem Statement:**
Determine the interval(s) where \( H(x) \) is continuous. Combine multiple intervals with the union symbol. Write the exact answer. Do not round.
\[
H(x) = \cos \left( \frac{2\ln(x - 2) + 1}{\sqrt[3]{x^2 - 4x - 12}} \right)
\]
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