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$If f (x) is odd function and f (1) = a, and f (x + 2) = f (x) + f (2) then the value of f (3) is$

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Correct option is D

Put x=−1⇒ f(1)=f(−1)+f(2)⇒ f(1)=−f(1)+f(2)⇒ f(2)=2a Now put x=1⇒ f(3)=f(1)+f(2)=a+2a=3a

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If f(x) is odd function and f(1)=a , and f(x+2)=f(x)+f(2) then the value of f(3) is

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Ready to Test Your Skills?

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$If f (x) is odd function and f (1) = a, and f (x + 2) = f (x) + f (2) then the value of f (3) is$