21. [-/1 Points] DETAILS SCALCCC5 2.3.AE.011. 20. [-/1 Points] DETAILS SCALCCC5 2.3.071. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE. EXAMPLE 8 Prove that the limit does not exist. lim 3x2 + ax + a + 9 x- -2 x2+ x - 2 lim lx - 1 Find the value a. SOLUTION lim = lim = lim 1 = r-1+ Evaluate the limit. lim = lim = lim -1 = I-1- Since the right- and left-hand limits are different, it follows from Video Example () Theorem 1 that the limit does not exist. The graph of the function Need Help? Read It f(x) = | x - 1 1 / (x - 1) to the left supports the one-sided limits that we found. Submit Answer Need Help? Read It 21. [-/1 Points] DETAILS SCALCCC5 2.3.AE.011. Submit Answer MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER