Use the graph of fix) below to evaluate each 1. Hm f(x) of the given limits. If the limit does not exist, write "does not exist" and explain why. 2. Hm f (x) HI 3. Im f(x) IL 4. lim f(x) -H 5. At what value is ((x) discontinuous? Is this a jump discontinuity or a removable discontinuity? Explain. Given g(x) below, evaluate each of the given 6. lim g(x) Wits. If the limit does not exist, white 'does X-+ 2+ not exist" and explain why. 9(x] = 4x+1, x2-2 7. lim g (x) FIx+2. X- 2- B. Ilm g(x)9. Sketch a graph of /(x) given the following functional values and limits. Im /(x) = 2, lim f(x) = -3, lim / (x) = 2, f(-5) = 4, f(-3) = 2, ((1) = -5 I+-3- I+-3+ X-+1 6 A- -6 -5 -4 -3 -2 -1. 1 2 3 4 5 5 x Evaluate the limits using algebraic techniques. 10. Im (10x + 12) 11. lim 2x-+7x-4 x+4 1 1 12. lim 2 x 7--22+xUsing the definition of continuity, determine whether the function is continuous at th given point. Explain. 13. /(x) = 3x + 2x - 1 atx = -3. x+2 14. JO = at x = 4. I-4 15. (4x - 3, 1= 5 atx = 5