Precalculus Assignment Example | Topics and Well Written Essays - 250 words

Precalculus - Assignment Example However, though the tortoise appears to move with less and less of span travelled, Achilles would have to work on filling in steps or strides to be able to catch up with it – something which tends to be impossible for each task he takes is simply part of an ‘infinite’ number of tasks he is yet to carry out and every time, the tortoise would have gone a bit farther. Thus, Zeno’s argument may be claimed to have been justified as correct in reasoning through such a scenario. In reference to their rates, if Achilles were to catch up with the tortoise at 10 times the animal’s rate at some time, t, then 10x*t = x*t + 1000. Solving this equation for distance ‘xt’, 9xt = 1000 and xt = 111 and 1/9 meters or that about 111.11 meters must have been taken by Achilles to overtake the tortoise. The figure likely expresses representation of a finite value to which the partial sums 100, 110, 111, etc.