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If f(x)=(sin([x]pi))/(x^2+x+1) , where [...

If `f(x)=(sin([x]pi))/(x^2+x+1)` , where `[dot]` denotes the greatest integer function, then `fi son eon e` `fi snoton e-on ea n dnon-con s t a n t` `fi sacon s t a n tfu n c t ion` `non eoft h e s e`

A

f is one-one

B

f is not one-one and non-constant

C

f is constant function

D

f is zero function

Text Solution

Verified by Experts

The correct Answer is:
C, D
`because sin([x]pi)=0`
`therefore f(x)=0" "[because[x]" is an integer"]`
implies f(x) is a constant function and also f(x) is a zero function.
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