Question: The greatest integer function, also known as the floor function, is defined by where n is the unique integer such that n x .

The greatest integer function, also known as the floor function, is defined by [x] = nwhere n is the unique integer such that n ≤ x . Calculate for c an integer:

(a) lim [x] X-C (b) lim [x] XC+ (c) lim [x] x-2.6

[x] = n

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