In the previous blog posts, we answered

- Question 1 of 5 “What is machine epsilon?” and
- Question 2 of 5 “How do I find machine epsilon using MATLAB code?”

Here we answer the next question.

**Future posts will answer these questions**

Question 4 of 5: What is the significance of machine epsilon for a student in an introductory course in numerical methods?

Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?

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This post is brought to you by

- Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com,
- the textbook on Numerical Methods with Applications available from the lulu storefront,
- the textbook on Introduction to Programming Concepts Using MATLAB, and
- the Massive Open Online Course (MOOC) available at http://udemy.com/numericalmethodsguy

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