फलन (f(x)=\frac{|x|}{x}) का ग्राफ किस फलन जैसा है जब \(x\ne0\)?
The graph of (f(x)=\frac{|x|}{x}) is like which function when \(x\ne0\)?
Explanation opens after your attempt
Correct Answer
A. (f(x)=\operatorname{sgn}(x))
Concept
\(\frac{|x|}{x}=1\) for (x>0) and (-1) for (x<0). In exams, exclude (x=0) from the domain.
Why this answer is correct
The correct answer is A. (f(x)=\operatorname{sgn}(x)). \(\frac{|x|}{x}=1\) for (x>0) and (-1) for (x<0). In exams, exclude (x=0) from the domain.
Exam Tip
\(\frac{|x|}{x}=1\) जब (x>0) और (-1) जब (x<0) होता है। परीक्षा में (x=0) को प्रांत से हटाएं।
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