268a32…: “Prior to the orange eyes”

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Let $\vec {f}(t) = \vector {-\frac {6\sin (t) + 6}{t^3-6t-6}, 2t, -\frac {6\cos (t)\sin (t)}{2t^3-3t} }$ .

Compute $\lim _{t \to 0} \vec {f}(t) = \vector { \answer {1}, \answer {0}, \answer {2}}.$

We compute the limit of a vector-valued function componentwise.