BASIC CALCULUS

Part II. Evaluate the following (1 Point each) x - 2; x 5 3 1. f ( x) = 1" _4;x>3 - x; x>1 2. f ( x ) = 1"-2; x51 Evaluate: Evaluate: a. lim f(x) x-+3 a. lim f(x) x-1 b. lim f(x) b. lim f(x) x-1 C. lim f (x) X-+3' C. lim f (x) x-1' Part III. Complete the table. (2 points each) Scoring System: 2 points - The solution is both complete and correct, leading to the correct final answer. 1 point - The solution is 75% correct. 0 point - There was no attempt to solve the problem and/or the solution is incorrect from the beginning. 1 . lim 3x x-+ +00 2 . lim ex x-++00 3. lim 4* lim e4x+7 X-+-00 4. x--00 5. lim Sin(6x) 6. lim e-3x+4 x-0 3x x-+ +00 7. lim 5*+6 x-++00 lim (x x-+ +00 9 . lim (0.2)x X-+-00 10. lim cos(x) X-+0 x Part IV. Determine whether continuous or discontinuity. (2 points each) 1. f(x) = 2x2 + x -3 2. f (x) = -4 3. f ( x) = _2x + 2; x