<｜begin▁of▁sentence｜>### Instruction:
Given the need to find the precision limit of the system's floating-point representation for double-precision numbers, can you determine the closest spacing between distinct floating-point numbers (machine epsilon) using Python's sys module?
### Response:
import sys

# Approximate the machine epsilon for doubles
epsilon = sys.float_info.epsilon
print('Machine epsilon for doubles:', epsilon)
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