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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
MCQ
Choose the correct answers from the given four options : If $\text{f(x)}=\text{x}^2\sin\frac{1}{\text{x}},$ where $\text{x}\neq0,$ then the value of the function $f$ at $x = 0,$ so that the function is continuous at $x = 0,$ is:
  • ✓
    $0$
  • B
    $-1$
  • C
    $1$
  • D
    None of these
✓

Answer

Correct option: A.
$0$
The value of the function $f$ at $x = 0,$ so that it is continuous at $x = 0$ is $0.$

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