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**Question:**

\(\underset{x\to 1 }{\mathop{\lim }}\,\frac{1-x+\ln x}{1+\cos (\pi x)}\) = ?

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\(\underset{x\to 1 }{\mathop{\lim }}\,\frac{1-x+\ln x}{1+\cos (\pi x)}\) = ?

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