For the first time, cut off 1 / 2 of the 2010 meter iron wire, cut off the remaining 1 / 3 in the second time, and so on, until the remaining 1 / 2010 is cut off, and calculate the length of the remaining iron wire

For the first time, cut off 1 / 2 of the 2010 meter iron wire, cut off the remaining 1 / 3 in the second time, and so on, until the remaining 1 / 2010 is cut off, and calculate the length of the remaining iron wire

2010x(1-1/2)x(1-1/3)x(1-1/4)x…… x(1-1/2010)
=1/2x2/3x3x4x…… x2009/2010x2010
=1
The remaining wire is one meter long