Evaluate the limit. Be sure to show all of your work and carry the limit 6x+x/2 5x-3 lim through all the steps that require it. X118 2. (5 pts.) Consider the equation 2* +3* = 4*. First explain why the hypothesis of the IVT (or its corollary) is satisfied (be sure that this is a careful explanation, similar to those from HW 2). Then, find an interval where the equation has a solution by using the IVT (or its corollary). (Hint: Remember to state what you chose as the function f(x) before you discuss the hypothesis.) 3. (5 pts.) Use the limit definition (difference quotient) to compute f'(2) for the following function. Be sure to show all of your work and carry the limit through all the steps that require it. You do not need to find the equation of the tangent line. f(x)=3x-2x