For any real number b, let f (b) denotes...

For any real number b, let f (b) denotes the maximum of `| sin x+(2)/(3+sin x)+b|AAxx x in R.` Then the minimum value of `f (b)AA b in R`is:

A

`3/2`

B

`0`

C

`1/2`

D

`-3/4`

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The correct Answer is:

B

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