Assume that Achilles' speed as 100 times as fast as the tortoise's and that this animal has been given a head start 1000 meters. Suppose also that Achilles runs 200 m in 1 minute. a) Use the theory of limits to compute the distance that Achilles will travel to catch the tortoise. b) Use the formula for a geometric series to compute the distance that the tortoise will have advanced when Achilles reaches the tortoise. c) How long will it take for Achilles to reach the tortoise?

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