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Byju's Answer
Standard IX
Mathematics
Period of a Function
If f x is an ...
Question
If f(x)is an odd periodic function with period 2, then f(4) equals
A
2
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B
4
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C
-4
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Solution
We have, f(-x) = -f (x) and f(x+2) = f(x)
∴
f(0) = f(0+2) = f (2)
Also f(0) = f(-2+2) = f (-2) = -f (2) = -f (0)
⇒
2f(0) = 0
⇒
f(0) = 0
Now, f(4) = f(2+2) = f (2) = f (2) = f(0+2) = f (0) = 0
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