For computers, the machine epsilon can also be thought of as the smallest number that when added to one gives a number greater than

For computers, the machine epsilon ε can also be thought of as the smallest number that when added to one gives a number greater than 1. An algorithm based on this idea can be developed as

Write your own M-file based on this algorithm to determine the machine epsilon. Validate the result by comparing it with the value computed with the built-in function eps.

Step 1: Set = 1. Step 2: If 1+ is less than or equal to 1, then go to Step 5. Otherwise go to Step 3. Step 3: e = /2 Step 4: Return to Step 2 Step 5: e = 2 E %3D