Hello Hemant
g(x) = [x]
is the Greatest integer function.
It tells us the value of the greatest integer less than x
So,
[1] = 1
[1.2] = 1
[1.3] = 1
[1.999999] = 1
[2] = 2
[2.0000001] = 2
[2.1] = 2
[2.999999] = 2
In our question,
if 0 < x < 1
So,
[x] = 0
because
[0.999] = 0
[0.8] = 0
[0.0001] = 1
And g(1) = [1] = 1
Written on Nov. 16, 2017, 5:39 p.m.