3. $[-/ 1$ Points $]$ DETAILS SCALC9 1.6.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim _{t \rightarrow 6} \frac{t^{2}-t-30}{t-6} \] Need Help? Read It Submit Answer

Step 1 ：The function is not defined at t=6, but we can simplify the function to find the limit as t approaches 6.

Step 2 ：The numerator can be factored, and then we can cancel out the (t-6) term in the numerator and denominator.

Step 3 ：After simplifying, we can substitute t=6 to find the limit.

Step 4 ：\(t = t\)

Step 5 ：\(f = \frac{t^{2} - t - 30}{t - 6}\)

Step 6 ：\(f_{simplified} = t + 5\)

Step 7 ：\(limit = 11\)

Step 8 ：The limit of the function as t approaches 6 is \(\boxed{11}\).