This is my review for a calc test, I would like full answers and explanations with work. I need lots of review

Unit 1: Limits & Continuity 1. Evaluate the following limits. Remember to consider the limits from both sides. lim(3x - 2x2 +4) a. lim b. 1-40lim 1+ C. lim -2x7 +5 3x2 d. x- + 3x - 10 lim e . x+5 Hint: Both factoring and L'Hopital's Rule are OK, though you must show why you need to use it. sin c lim f. I + 00 Hint: No proof required. If you don't remember the answer, use L'Hopital's Rule, though you must show why you need to use it.2. Consider [1(1') 23-2917 and its graph. a. Find the equation for the instantaneous slope using the Product Rule. b. Use the derivative to nd the equation of the tangent line at the point (1, e). 0. Given that f'(x) = % , find the differential dy in terms of dx. Consider f(.t') = %x3 2x2 and its graph. a. Use f'(x) and the 1st Derivative Test to find the local minimum and maximum of f(x). Use the graph above to help conrm your answer. b. Identify all regions in which f(x) is increasing and those in which it is decreasing. Use the graph above to help confirm your answer. 0. Use f\"(x) to nd the inection point on the graph. Use the graph above to help confirm your