ECON 1530 Sections G & H Fall 2022 Assignment 5 (to be submitted on eclass) Due: 11:59 pm on Tuesday, Nov 1, 2022 1. Determine the following limits: (a) lim, .0 (x2 - 57 + 3) (b) lim -+2 ((2143) (c) lim, --3 ((743) 2. Find the derivatives of the following functions from first principles (i.e. f'(x) = limno[ ) -@]): (a) f(x) - 21 - 6 (b) f(z) =5-1-12 3. If the line y = -r +3 is tangent to the graph of f(r) = -2 + + k, what is k? (Hint: Draw the line and function to figure this out.) 4. What is the sign of the derivative f'(x) of the curve y = f(r) shown in the figure below, when (a) a (b) (c) (d) at the point E J G N O O