Answer
$1$
Work Step by Step
$\lim\limits_{x \to 0}\cos(x+\sin x)$
$\lim\limits_{x \to 0}\cos(0+\sin 0)$
$\lim\limits_{x \to 0}\cos(0+0)$
$\lim\limits_{x \to 0}\cos0=1$
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