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  • If is an odd function which is defined at , then the value of <i

If f\left ( x \right ) is an odd function which is defined at x=0, then the value of f(0) is

Option: 1

1


Option: 2

-1


Option: 3

0


Option: 4

None of these


Answers (1)

best_answer

As f\left ( x \right ) is an odd function, so

                           f\left ( -x \right )=-f\left ( x \right )

      Put  x=0,  f\left ( -0 \right )=-f\left ( 0 \right )

                          \begin{aligned} &\Rightarrow f(0)=-f(0) \\ &\Rightarrow 2 f(0)=0 \\ &\Rightarrow f(0)=0 \end{aligned}

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