AP EAMCET · Maths · Functions
The function of \(f(x)=|x|+\frac{|x|}{x}\) is
- A continuous at the origin
- B discontinuous at the origin because \(|x|\) is discontinuous there
- C discontinuous at the origin because \(\frac{|x|}{x}\) is discontinuous there
- D discontinuous at the origin because both \(|x|\) and \(\frac{|x|}{x}\) are discontinuous
Answer & Solution
Correct Answer
(C) discontinuous at the origin because \(\frac{|x|}{x}\) is discontinuous there
Step-by-step Solution
Detailed explanation
\(f(x)=|x|+\frac{|x|}{x}\) LHL of \(x=0\)…
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