Choose the correct answers from the given four options : If f(x)=… - Vidyadip

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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