Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let [x] be the greatest integer
x. Then the number of points in the interval (-2, 1) where the function
is discontinuous, is_____.
Text Solution
Verified by ExpertsThe correct answer is:
2
(2) Given,
f(x)=|[x]|+ 

Now using the property of greatest integer function and simplifying the function we get,

Now plotting the diagram we get,

Now from the diagram we can say that, f(x) is discontinuous at two points x ={-1, 0}.
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