If f(x)={\\begin{array}{c}x^\alpha \sin \\ (\\\{1\end\frac{array}{x}) , \text{, }x \neq 0 ; 0 ,{,} x=0}.; Which of the following is true? [AP EAPCET 19 May 2024 Shift 2]

Correct Answer is : f(x) is continuous and differentiable for α>1

f(x) is continuous and differentiable if 0 \leq \alpha< 1

f(x) is discontinuous and not differentiable if 0 \leq \alpha< 1

f(x) is continuous and differentiable for \alpha>1

f(x) is discontinuous and differentiable for \alpha>1

Limits Continuity and Differentiability

Section: Mathematics

Question : 54 of 61

Marks: +1, -0

If f(x)={

xαsin‌(‌

)

, x≠0

,x=0

.; Which of the following is true?

[AP EAPCET 19 May 2024 Shift 2]

Go to Question:

Prev Question

Next Question