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If (f(x)=\frac{2}{x^2+6x+13}), what is the range of (f)?यदि (f(x)=\frac{2}{x^2+6x+13}), तो (f) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (0,\frac{1}{2}] )( (0,\frac{1}{2}] )
The denominator ((x+3)^2+4\ge 4), so the maximum is (\frac{1}{2}). As the denominator grows, the value approaches (0) but never becomes (0).हर ((x+3)^2+4\ge 4) है, इसलिए अधिकतम (\frac{1}{2}) है। हर असीम होने पर मान (0) के पास जाता है पर (0) नहीं होता।
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