Solve the following questions and show work

\f(2 points) Evaluate the limits. (6x2 -5 x 1 Enter DNE if the limit does not exist. a) lim f(x) = x--17 b) lim f(x) = x -+ - c) lim f(x) = x--1 d) f(-1) = e) lim f(x) = x-1 f) lim f(x) = x-1+ g) lim f(x) = x-1 h) f (1) =\f(1 point) Evaluate the limit, if it exists. If not, enter DNE. (1 point) Evaluate the limit If the limit does not exist enter DNE. Limit = \f(1 point) Use the Squeeze Theorem to evaluate the limit . . 1 hm s11] x cos x>O x5 Enter DNE if the limit does not exist. Limit: (1 point) If 5x15 $f(x) 5x2+3x+1 determine lim f(x) = x4 What theorem did you use to arrive at your answer? (1 point) Which of the following is a function that has a jump discontinuity at x = 2 and a removable discontinuity at x = 4, but is continuous elsewhere? 2 (a) f(x) = (x - 2)(x - 4) if x 5 2 (b) f (x ) = x - 3 if 2 4 . W if x = 4 2-x2 if x 2. x2 - 4x(1 point) Find a value of the constant k, if possible, at which kx2 x 3 f(x)={10x+k x>3 is continuous everywhere. k = (enter "none" if no value). (3 points) f(x) g(x) The graphs of f(x) and g(x) are given above. Use them to evaluate each quantity below. Write DNE if the limit or value does not exist (or if it's infinity). 1. f(2) + 8(2) 2. f(2)8(2) 3. lim [f(x) + g(x)] x-+0+ 4. lim [f(x)g(x)] x -+ 0+ 5. lim [f(x)/g(x)] x -0 6. lim [f(x)/g(x)] x-2+ 7. lim [f(x)g(x)] x-0 8. lim [f(x)g(x)] x-+2- 9. f(8(0)) 10. lim [f(x)g(x)] x-+ 2+ 11. lim [f(x) + g(x)] x-2 12. lim [f(x)/g(x)] x-2- 13. f(8(2)) 14. f(0)/g(0) 15. lim [f(x) + g(x)] x -+ 2+ 16. f(2)/g(2) 17. f(0) + 8(0) 18. lim [f(g(x))] x- 2+ 19. f(0)g(0) 20. lim [f(x) + g(x)] X -0-