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5. continuity and differentiation — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
MCQ
The function $f(x) = (x -a)^2 cos  \frac{1}{(x-a)}$ for $x \neq a$ and $f(a) = 0$, is
  • A
    Continuous but not derivable, at $x = a$
  • B
    derivable at $x = a$
  • ✓
    not continuous at $x = a$
  • D
    None of these
✓

Answer

Correct option: C.
not continuous at $x = a$
c

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