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
B. (f(x)=\operatorname{sgn}(x))
Concept
\(\frac{x}{|x|}=1\) for (x>0) and (-1) for (x<0). In exams, remember to exclude (x=0) from the domain.
Why this answer is correct
The correct answer is B. (f(x)=\operatorname{sgn}(x)). \(\frac{x}{|x|}=1\) for (x>0) and (-1) for (x<0). In exams, remember to 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 हटाना न भूलें।
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