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The period of the function f(x)=sin(x+3-...

The period of the function f(x)=sin(x+3-[x+3]), where `[*]` denotes greatest integer function, is

A

`[5,6]`

B

`[5,6)`

C

`R`

D

`I`

Text Solution

Verified by Experts

The correct Answer is:
B

`f(x)=2+x-[x-3]`
`=2+x-[x]+3=5+{x}`
`:.f(x)epsilon[5,6) ( :'{x}epsilon[0,1))`
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