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The range of the real valued function $f(x)=\large\frac{x^2+x+2}{x^2+x+1}$ is

$\begin{array}{1 1} (1,\infty ) \\ (1, \large\frac{11}{7} ] \\ (1, \large\frac{7}{3} ] \\ (1,\large\frac{7}{5} ] \end{array}$

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