Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
. Consider the following two statements:
(I) 
is discontinous at 
.
(II) 
is continous at 
.
Then,
Text Solution
Verified by ExpertsThe correct answer is:
B
Taking the limit as 
, we note 
for 
and 
for 
. This gives:
Continuity at 
:
is continuous at 
. So Statement (I) is false.
Continuity at 
:
Since LHL 
is discontinuous at 
. So Statement (II) is also false.
Hence, neither (I) nor (II) is true.
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