The poles of the function (s+1) (s+2)(s+3)(s+4) are at: You can select multiple choices. -4 -3 -1 -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%
**The Poles of the Function**

Consider the function:

\[
\frac{(s+1)}{(s+2)(s+3)(s+4)}
\]

We aim to find the poles of this function. Poles are values of \( s \) where the function becomes undefined (i.e., the denominator is zero).

**Potential Pole Locations:**

- Check the denominator for zeros: \( (s+2)(s+3)(s+4) = 0 \)

**Options:**

You can select multiple choices:

- \[ \boxed{-4} \]
- \[ \boxed{-3} \]
- \[ \boxed{-1} \]
- \[ \boxed{-2} \]
Transcribed Image Text:**The Poles of the Function** Consider the function: \[ \frac{(s+1)}{(s+2)(s+3)(s+4)} \] We aim to find the poles of this function. Poles are values of \( s \) where the function becomes undefined (i.e., the denominator is zero). **Potential Pole Locations:** - Check the denominator for zeros: \( (s+2)(s+3)(s+4) = 0 \) **Options:** You can select multiple choices: - \[ \boxed{-4} \] - \[ \boxed{-3} \] - \[ \boxed{-1} \] - \[ \boxed{-2} \]
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