3) Prove There exists a real nubrsSo Surh thot

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

**3) Prove: There exists a real number \( x > 0 \) such that**

\[
|2x - 4| < 0.000001
\] 

**Explanation:**

To solve this problem, we need to demonstrate that there is a real number \( x \) greater than zero such that the absolute value of \( 2x - 4 \) is less than 0.000001. 

This involves finding an \( x \) for which the expression inside the absolute value is very close to zero, indicating that \( 2x \) is close to 4.
Transcribed Image Text:**Problem Statement:** **3) Prove: There exists a real number \( x > 0 \) such that** \[ |2x - 4| < 0.000001 \] **Explanation:** To solve this problem, we need to demonstrate that there is a real number \( x \) greater than zero such that the absolute value of \( 2x - 4 \) is less than 0.000001. This involves finding an \( x \) for which the expression inside the absolute value is very close to zero, indicating that \( 2x \) is close to 4.
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