Odd function

Algebra Level 3

An odd function f:RRf:\mathbb{R} \to \mathbb{R} satisfies f(x)=f(x+2)f(x)=f(x+2).

Find the value of f(1)+f(2)+f(3)+...+f(2017)f(1)+f(2)+f(3)+ ... + f(2017).

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