According to Zeno's paradox any object in motion must arrive at the halfwaypoint before

Chapter 3, Problem 24

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According to Zeno's paradox any object in motion must arrive at the halfwaypoint before it can arrive at its destination. Once arriving at the halfway point,the remaining distance is once again divided in half and so on to infmity.Since it is impossible to complete this process, Zeno concluded all motionmust be an illusion. Letting the length be unity, Zeno's paradox can be writtenin terms of the infinite sum I .!. = 1 . To see how quickly this series conn=I2nverges to 1, compute the sum for:(a) n = 5, (b) n = 10, (c) n = 40For each part create a vector n in which the first element is 1, the increment is1, and the last term is 5 , 10, or 40. Then use element-by-element calculations tocreate a vector in which the elements are .!. . Finally, use the MATLAB built-2nin function sum to add the terms of the series. Compare the values obtained inparts (a), (b), and (c) with the value of 1.