Continuity and DifferentiabilityHard
Question
Consider the following statements-
(I) If a function is differentiable at some point then it must be continuous at that point
(II) If a function continuous at some point then it is not necessary that it is differentiable at that point.
(III) Differentiability of a function at some point is the necessary and sufficient condition for continuity at that point.
From above, correct statements are-
(I) If a function is differentiable at some point then it must be continuous at that point
(II) If a function continuous at some point then it is not necessary that it is differentiable at that point.
(III) Differentiability of a function at some point is the necessary and sufficient condition for continuity at that point.
From above, correct statements are-
Options
A.I, II, III
B.I, III
C.I, II
D.II, III
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