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KCET 2025 Math Paper

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Question : 4

Total: 60

If f(x)=sin‌[π2]x−sin‌[−π2]x, where [x]= greatest integer ≤x, then which of the following is not true?

‌f(0)=0
‌f(‌
π
2
)=1
‌f(‌
π
4
)=1+‌
1
√2
‌f(π)=−1

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