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in Differential equations by (40 points)
86. If \( \lim _{x \rightarrow 0}\left\{\frac{1}{x^{2}}\left(\begin{array}{c}1-\cos \frac{x^{2}}{2}-\cos \frac{x^{2}}{4} \\ +\cos \frac{x^{2}}{2} \cos \frac{x^{2}}{4}\end{array}\right)\right\}=2^{-t} \), then the value of \( k \) is

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