JEE MATHEMATICS MCQ: DIFFERENTIATION

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f(x)= \begin{cases}x \sin (1 / x), & \text { for } x \neq 0 \\ 0, & \text { for } x=0\end{cases}

then

View answer and explanation

Correct option: A

f

is a continuous function

Option A (

f

is a continuous function) is correct because

f(x)

approaches 0 as

x

approaches 0, which matches the defined value of

f(0) = 0

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