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Floor/ceiling, anyone please help me with this prove. If you may please use a simple prove and if you use any rules please mention. Thank

Floor/ceiling, anyone please help me with this prove.

If you may please use a simple prove and if you use any rules please mention.

Thank You

What is a formula for the nearest integer to a given real number x? In case of ties, when is exactly halfway between two integers, give an expression that rounds (a) up-that is, tox); (b) down-that is, to lx/

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