Let $f(x) = x|x|$. Then f(x) is:

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

Let $f(x) = x|x|$. Then f(x) is:

Options:

Continuous at x = 0 but not differentiable at x = 0

Differentiable at x = 0 but not Continuous at x = 0

Both Continuous and Differentiable at x = 0

Neither Continuous at x = 0 nor differentiable at x = 0

Correct Answer:

Both Continuous and Differentiable at x = 0

Explanation:

The correct answer is Option (3) - Both Continuous and Differentiable at x = 0