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Suppose you have n boards of length L each. Place the first board of length L/2n hanging over the edge of a table. Place the next board with length...

Suppose you have n boards of length L each. Place the first board of length L/2n hanging

over the edge of a table. Place the next board with length L/2(n-1) hanging over the edge

of the first board. The next board should hang L/2(n-2) over the edge of the second board. Continue this way until the last board hangs L/2 over the edge of the (n - 1)st board.

Theoretically, this stack will balance. Compute the total overhang of the stack with

n = 8. Determine the least number of the boards n such that the total overhang is

greater than L. This means that the last board is entirely beyond the edge of the table.

What is the limit of the total overhang as n approaches 0?

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