1- The man will never be able to catch up to the tortoise. As he continues to chase the tortoise to its initial position, it continues to move forward creating a new position. Because of this he will never be able to pass the tortoise. This is similar to Zeno's Paradox because in this paradox the man can never reach the wall. The man continues to half each of his steps. Since he continues to half each of his steps, he will never be able to reach the wall. If there is an infinite amount of time, the man will eventually catch up and over take the tortoise. Additionally the other man will eventually reach the wall.
2- I agree with the answer of .5. .5 is between 0 and 1. This gives an approximate idea of what the answer could be but it is impossible to know the exact answer. This is also related to what we have been learning because it relates to the alternating series. Thomsons lamp dilemma makes sense because there can be an infinite amount of answers.
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