If $f: R \rightarrow A$ defined by $f(x) = \frac{1}{x^2+2x+2}$,$\forall x \in R$ is surjective,then $A =$
- A$[1, \infty)$
- B$(1, \infty)$
- C$[0, 1]$
- D$(0, 1]$
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