WBJEE · Maths · Continuity and Differentiability
\(f(x)=x+|x|\) is continuous for
- A \(\quad x \in(-\infty, \infty)\)
- B \(x \in(-\infty, \infty)-\{0\}\)
- C only \(x>0\)
- D no value of \(x\)
Answer & Solution
Correct Answer
(A) \(\quad x \in(-\infty, \infty)\)
Step-by-step Solution
Detailed explanation
\[ \text { Hints: } f(x)=\left\{\begin{array}{lc} 2 x ; & x \geq 0 \\ 0 ; & x
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