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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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