Answer
$1$
Work Step by Step
Evaluate the limit by direct substitution.
$\lim\limits_{x \to 0} \cos(x^3+3x)=\cos(0^3+3\cdot 0)=\cos 0=1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.