Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Discuss the continuity and differentiability of f(x) = [x] + {x} 2 and also draw its graph. Where [.] and {.} denote the greatest integer function and fractional part function respectively.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
f(x) is continuous and non-differentiable for integral points
Sol. f(x) = 
graph of f(x) is as shown is figure
∴ f(x) is continuous for all x but
non-differentiable for integral points.
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