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CGP EDU Academic Team
Published on: August 11, 2026
Test the continuity & differentiability of the function defined as under at x = 1 & x = 2.
f (x) = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
continuous at both points but differentiable only at x = 2
Sol. Curve of y = f (x) is as follows
It is continous every where not differentiable at x = 1
LHD (x = 2) = – 1 = RHD (x = 2) diff. at x = 2
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