If \( \lim _{x \rightarrow 0} \frac{a e^{x}-b \cos x+c e^{-x}}{x \c...

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If \( \lim _{x \rightarrow 0} \frac{a e^{x}-b \cos x+c e^{-x}}{x \cdot \sin x}=2 \), then the value of \( (a+b+c) \) 
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