Answer
$\dfrac{1}{2}$
Work Step by Step
Solve the limit $\lim\limits_{(x,y) \to (0,\ln 2)} e^{x-y}$
$\lim\limits_{(x,y) \to (0,\ln 2)} e^{x-y}=e^{0-\ln 2}$
Thus, $e^{0-\ln 2}=\dfrac{1}{2}$
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