For computers, the machine epsilon can also be thought of as the smallest number that

Chapter 4, Problem 4.4

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For computers, the machine epsilon 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 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: = /2 Step 4: Return to Step 2 Step 5: = 2 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.

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