If the function \( f \) defined by \( f(x)=\left\{\begin{array}{cc}\frac{1-\cos 2 x}{2 x^{2}}, x...
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0If the function \( f \) defined by \( f(x)=\left\{\begin{array}{cc}\frac{1-\cos 2 x}{2 x^{2}}, x \neq 0 \\ k, & , x=0\end{array}\right. \) is continuous at \( x=0 \), find the value of \( k \).
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