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Question:
What actually is maximum integer function please explain
Answer:

The maximum or greatest integer function of a real number x is represented as [x]. 

Now for all values of x, the maximum integer function returns the largest integer less than or equal to x. 

i.e. the maximum integer function rounds down to a real number to the nearest integer.

Example: [2] = 2, [1.4] = 1, [3.8] = 3, [2.5] = 2, [-3] = -3, [-1.7] = - 2, [-2.2] = -3, [-4.5] = -5, etc.  

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