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What is the range of (f(x)=\frac{|x|}{|x|+1})?फलन (f(x)=\frac{|x|}{|x|+1}) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([0,1))([0,1))
Let (t=|x|), so (t\ge 0) and (f=\frac{t}{t+1}). At (t=0) the value is (0), and as (t) grows it approaches (1) but never reaches it.मान लें (t=|x|), तब (t\ge 0) और (f=\frac{t}{t+1}) है। (t=0) पर (0) मिलता है और (t) बढ़ने पर (1) के पास जाता है पर (1) नहीं मिलता।
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