with detailed solution neat and clean

3,4- 2022-12192-MN-0

Let 2022-ABCDE-mn-0 be your student's number, refer to the power slide posted together with this exam for instructions on how to answer the following questions. 3. Find the derivative of the following:(3 pts each) a. f (x ) = x+(A+B+C) x-D b. g(x) = (A+E)(x2+2x+1)(x+1) x+1 4. Use the squeeze theorem to evaluate: lim (A . B . C . D . E) + x sin X-1 (-.)). (4 pts)\fFor items 6 - 10, let sin(x2 - 64) , if x 0 Determine the following: 6. lim g(x) X-00 a) 0 b) DNE c) Undefined d) 1 7. lim g(x) a) +oo b) DNE c) 0 d) -co 8. lim g(x) X--1 a) 0 b) DNE c) 2 d) 9. lim g (x) x-1 a) +0o b) DNE c) 0 d) -co 10. lim g(x) x--8 a) 1 b) DNE c) -1 d) 0III. Answer the following with complete solution. 1. Consider: x + 5 if x n Determine if f (x) is continuous when x = -5,x = -2n,x = 0, x = 4, and x = 12. (5 pts) 2. Consider: 2 IH + if x 2 Determine all the possible discontinuity of g(x) and classify each discontinuity as removable, Jump essential, or infinite essential. (7 pts)