- For \( f(t) \) to be continuous at \( t = 2 \), the left-hand limit, right-hand limit, and the function value at \( t = 2 \) must be equal.
- Calculate the left-hand limit as \( t \to 2^- \):
\[
\lim_{t \to 2^-} f(t) = 6 - 2(2)^2 = 6 - 8 = -2
\]
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