Equation of the tangent to the curve \( y=e^{-|x|} \) at the point ...

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Equation of the tangent to the curve \( y=e^{-|x|} \) at the point where it cuts the line \( x=1 \)
(A) is \( e y+x=2 \)
(B) is \( x+y=e \)
\( \mathrm{P} \)
(C) is \( e x+y=1 \)
(D) does not exist
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