The maximum value of the expression $\frac{x^2+x+1}{2 x^2-x+1}$, for $x \in \mathbb{R}$, is

The maximum value of the expression $\frac{x^2+x+1}{2 x^2-x+1}$, for $x \in \mathbb{R}$, is
  1. $\frac{7+2 \sqrt{7}}{7}$
  2. $\frac{7-2 \sqrt{7}}{7}$
  3. $\frac{7}{3}$
  4. $\frac{14+2 \sqrt{7}}{7}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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