1. (1 point) Let lim g(x) = -7, limh(x) = -6, lim f(x) = 0. 4. (1 point) Evaluate the limit Find following limits if they exist. If not, enter DNE ('does not lim x- + 8x+ 12 exist') as your answer. x-+6 x+6 1. lim(8(x) + h(x)) 2. lim(g(x) - h(x)) 5. (1 point) Evaluate the limit. If the limit does not exist, 3. lim(g(x) . f(x)) x-+a enter DNE 1 - 8x + 12 4. lim 8(x) x-a h(x) x-+2 x2+4x - 12 5. lim S(x) 6. (1 point) Evaluate the limit. If the limit does not exist, x-a f(x) enter DNE. 6. lim f (x) x2 - 3x x-tag(x) lim - x-+3x2+ 2x - 15 7. lim Vh(x) 8. limh(x) 7. (1 point) Evaluate the limit. If the limit does not exist, x-+a enter DNE . 12 -81 lim x-tah(x) - f(x) lim 1-+-9212 + 19t +9 Answer = _ 2. (1 point) 8. (1 point) Evaluate the limit. If the limit does not exist, enter DNE. x2 - 7x lim x--2x2 -5x - 14 m 9. (1 point) Find (in terms of the constant a) lim 4(ath)2 -4a2 h Limit = 10. (1 point) Find (in terms of the constant a) f(x) g (x) lim V2(ath) - V2a h-+0 The graphs of f(x) and g(x) are given above. Use them to eval- Limit =_ uate each quantity below. Write DNE if the limit or value does not exist (or if it's infinity). 11. (1 point) Evaluate the limit. If the limit does not exist, enter DNE Vx +4-6 1. lim If(g(x))] lim x-+0+ -+32 x-32 2. lim [f(x)/g(x)] x-0- 12. (1 point) Find (in terms of the constant a) 3. f(2)8(2) 4. lim [f(x)g(x)] lim ath x-+0+ h-+0 h Limit = 3. (1 point) Evaluate the limit 13. (1 point) Evaluate the limit lim 80 sin 0 lim y-+4 y - 4 _1. lim f(x) 14. (1 point) Evaluate the limit. If the limit does not exist, 14+9+ enter DNE. 2. lim f(x) 3. lim f(x) 4. lim f(x) * - -9 5. lim f(x) 15. (1 point) If 1- -9 7x - 7sf(x) Sx2+5x-6 6. lim f(x) *- - 9+ determine lim f(x) = 17. (1 point) What theorem did you use to arrive at your answer? Let F(x) = x2 -81 16. (1 point) Let Lx - 91 if x 9 *-+9+ 2. lim F(x) Sketch the graph of this function and find following limits if x-+9- they exist (if not, enter DNE). 3. lim F(x)