The range of the function $f(x) = \large\frac{x^2+x+2}{x^2+x+1}$, $x \in (-\infty, \infty)$ is:

Question

(A) $(0, \frac{4}{3}$$]$ $\quad$ (B) $(1, \frac{7}{3}$$]$$\quad$ (C) $(1, \frac{4}{5}$$] \quad$ (D) $(1, \infty)$