If \( \tan \alpha=\frac{1}{1+2^{-x}} \) and \( \tan \beta=\frac{1}{1+2^{x+1}} \), then write the...

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If \( \tan \alpha=\frac{1}{1+2^{-x}} \) and \( \tan \beta=\frac{1}{1+2^{x+1}} \), then write the value of \( \alpha+\beta \) lying in the
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