df856f…: “Unlike the fair flower”

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Let $\vec {f}(t) = \vector {\frac {t^2+6}{t}, \frac {(t-1)^2}{t-1},\frac {2(t+2)}{3t} }$ . Compute $\lim _{t \to 1} \vec {f}(t) = \vector { \answer {7}, \answer {0}, \answer {2} }.$

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