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If (f(x)=x^2+1) and (g(x)=x^2+2), what is the maximum value of (\frac{f}{g})?यदि (f(x)=x^2+1) और (g(x)=x^2+2) हैं, तो (\frac{f}{g}) का अधिकतम मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: approaches (1) but not equal(1) के निकट लेकिन बराबर नहीं
(\frac{x^2+1}{x^2+2}=1-\frac{1}{x^2+2}), so the value stays below (1) and approaches (1). The actual maximum is not attained here.(\frac{x^2+1}{x^2+2}=1-\frac{1}{x^2+2}), इसलिए मान (1) से छोटा रहकर (1) के निकट जाता है। यहां वास्तविक अधिकतम प्राप्त नहीं होता।
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