Question: 6. For computers operating with a floating point number representation, there will be a limit to the precision available, and this can be expressed as

6. For computers operating with a floating point number representation, there will be a limit to the precision available, and this can be expressed as a ratio of the smallest increment possible compared to the overall number. This ratio of x/x is referred to as the machine epsilon . It can also be thought of as the smallest number that when added to 1 will give a number greater than 1. An algorithm based on this idea can be developed in the following way: 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 an 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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