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The frog would never reach it because it only reaches halfway.

Eventually the frog will reach a 'Planck Length'. Since you cannot halve a Planck Length, the frog will be stuck stationary on the log one planck length from the edge.

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Q: If there is a frog sitting on a 20 foot log and each time he jumps he can only jump half the remaining distance when would he get across the log?
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