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Least Integer Function: We know that any real number x can be expressed as following x= [x] + {x}, where [x] is an integer and 0 le {x} lt 1. We define [x] as the greatest integer less than or equal to x or integral part of x and (x} as the fractional part of x: Suppose for any real number x we write x = [x]+{x}, where [x] is integer and 0 le {x} < 1. We define (x) as the least integer greater than or equal to x. For example: (2.36) = 3 (-13.11) =-13 (4)=4 Clearly, If x != I, then (x)=x -{x}+1 if x in I, then (x) = [x] +1. We can also define that xin(n,n+1]rArr(x)=n+1, where ninI. The domain of definition of the function f(x)=1/(sqrt(x-{x})) is |
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