Question: Machine precision is defined as the smallest machine number e such that 1 +e>1. Anything smaller, when added to 1, would be lost as roundoff.

Machine precision is defined as the smallest machine number e such that 1 +e>1. Anything smaller, when added to 1, would be lost as roundoff. Prove that e, as defined above, is the bound for relative round-off error. In other words, prove that b1t chopping c-\ lb1-t rounding where b is the base of the computer's floating point number system and t is the mantissa length

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