[See Steps] Let f(t)= \begincasesk t+7, t<3 , 6, t=3 , 2 t^2+k, t>3endcases Determine k so that lim _t \rightarrow 3 f(t) exists. Enter the value of k
Question: Let \(f(t)= \begin{cases}k t+7, & t<3 \\ 6, & t=3 \\ 2 t^{2}+k, & t>3\end{cases}\)
Determine \(k\) so that \(\lim _{t \rightarrow 3} f(t)\) exists.
Enter the value of \(k\) below.
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