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If (f(x)=x^2+2) and (g(x)=x^2+5), what is the real maximum value of (\frac{f}{g})?यदि (f(x)=x^2+2) और (g(x)=x^2+5) हैं, तो (\frac{f}{g}) का वास्तविक अधिकतम मान कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: no maximum is attainedकोई अधिकतम प्राप्त नहीं होता
(\frac{x^2+2}{x^2+5}=1-\frac{3}{x^2+5}), so it approaches (1) but never equals (1). Hence no actual maximum is attained.(\frac{x^2+2}{x^2+5}=1-\frac{3}{x^2+5}), इसलिए यह (1) के निकट जाता है पर (1) नहीं बनता। अतः वास्तविक अधिकतम प्राप्त नहीं होता।
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