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The range of the function x/(2 + x^2) is...

The range of the function `x/(2 + x^2)` is

A

`[1/(2sqrt2), -1/(2sqrt2)]`

B

`[-1/(2sqrt2), -1/(2sqrt2)]`

C

`[-1/(2sqrt2), 1/(2sqrt2)]`

D

`[1/(2sqrt2), 1/(2sqrt2)]`

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The correct Answer is:
C
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