Let f(x)={\\begin{array}{c}x^2 \sin \\ (\\\{1\end\frac{array}{x}) ,{, } x \neq 0 ; 0 ,{, } x=0}.; Then at x=0 [24-Jan-2023 Shift 1]

Correct Answer is : f is continuous but f′ is not continuous

{\f} is continuous but not differentiable

{\f} is continuous but {\f}^{'} is not continuous

{\f}^{'} is continuous but not differentiable

JEE Mains 24-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 78 of 90

Marks: +1, -0

Let f(x)={

x2sin‌(‌

)

,‌x≠0

,‌x=0

.; Then at x=0

[24-Jan-2023 Shift 1]

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