3. Machine precision is defined as the smallest machine number e such that 1+e> 1. Anything smaller, Prove that e, as defined above, is the bound for relative round-off error. In other words, prove that _ bl-t rounding when added to 1, would be lost as roundoff. b1-t chopping where b is the base of the computer's floating point number system and t is the mantissa length. 3. Machine precision is defined as the smallest machine number e such that 1+e> 1. Anything smaller, Prove that e, as defined above, is the bound for relative round-off error. In other words, prove that _ bl-t rounding when added to 1, would be lost as roundoff. b1-t chopping where b is the base of the computer's floating point number system and t is the mantissa length