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What is the range of (f(x)=\frac{1}{|x|+1})?फलन (f(x)=\frac{1}{|x|+1}) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (0,1] )( (0,1] )
Since (|x|+1\ge1), the maximum is (1), and (0) is not attained. As the denominator grows without bound, the fraction approaches (0).(|x|+1\ge1) इसलिए अधिकतम (1) है और (0) प्राप्त नहीं होता। हर के अनंत होने पर भिन्न (0) के पास जाती है।
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