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3. 4. sin n √n √√n² + 2 n² + n-n

3. 4. sin n √n √√n² + 2 n² + n-n

Advanced Engineering Mathematics
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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Determine whether the given limits exist and find their values. Give a clear explanation.

 

### Mathematical Expressions 3. \(\frac{\sin n}{\sqrt{n}}\) This expression represents a quotient where the sine of \(n\) is divided by the square root of \(n\). It involves trigonometric and radical functions. 4. \(\sqrt{n^2 + n - n}\) This expression is a radical expression that simplifies to \(\sqrt{n^2}\) because the terms \(+n\) and \(-n\) cancel each other out. The final form is the square root of \(n^2\), which simplifies to \(n\), assuming \(n\) is non-negative.
Transcribed Image Text:### Mathematical Expressions 3. \(\frac{\sin n}{\sqrt{n}}\) This expression represents a quotient where the sine of \(n\) is divided by the square root of \(n\). It involves trigonometric and radical functions. 4. \(\sqrt{n^2 + n - n}\) This expression is a radical expression that simplifies to \(\sqrt{n^2}\) because the terms \(+n\) and \(-n\) cancel each other out. The final form is the square root of \(n^2\), which simplifies to \(n\), assuming \(n\) is non-negative.
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