Answer
$1$
Work Step by Step
Solve the limit: $\lim\limits_{(x,y) \to (0,\dfrac{\pi}{4})} \sec x \tan y$
$\lim\limits_{(x,y) \to (0,\dfrac{\pi}{4})} \sec x \tan y=\sec(0) \tan (\dfrac{\pi}{4})$
or, $(1)(1)=1$
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