Test+Review+Limits

1) Lim x→ -3= 0 2)Lim x→ 0= -1/4 Worked by Hannah Mozafari 3) lim Δx→0= 2x 4) lim x→4= (1/6) Worked by Nadia Guillen

5.)limit= DNE 6.)limit=2 worked by Ellen Wagner Correct! Checked by Erin Randall

7) as x -> negative infinity, y ocilates between 1 and 0 8) i have no idea...

attempted to be worked by daniel benoit Checked by Abby Newton (I don't know either...)

9) limit=1/2root3 10)limit=5 worked by Will McCrocklin

11) Lim as x gets closer to -4 (x+3)^1998= 1 12)Lim as x gets closer to -2 root(x-2) = dne worked by Sunny Krishnan

13.) lim 3x^3-x+1/(x+3) = DNE x-> infinity

14.) lim x/(x+3) = DNE x->-3+

Worked by Abby Newton Correct. Checked by Maelle Grenier

15 and 16 Worked by Audrey Luecken correct. checked by Hyun Bang

17) x-1/(x^2)-1= 1/2 x-> 1

18) sinx/(2x^2)-x x-> 0 Worked by Louis Ortiz

19) ∞

20) 0 worked and checked by Jason Sham

21. lim x-->0^+ csc(x)= DNE b/c there is a vertical asymptote @ x=0 22. lim x--> -2 (x-6)^(2/3)= 4 Worked by Krissy Denby Correct. Checked by Will Owen

23.-1 24.1 Worked By Elborz SafarzaDeh Correct! checked by Neil Klenk

27. lim x--> oo = oo 28. lim x--> -oo = 0 29. lim x--> 1 = 1/2 30. lim x--> -1- = 1 31. lim x--> -1+ = 1/2 32. lim x--> -1 = DNE Worked by Samantha Cuestas

33. lim x -> -2- = - infinity 34. lim x -> -2+ = 1 35. lim x -> -2 = 1 36. lim x -> 0 = DNE 37. lim x -> 2+ = -2 38. lim x -> 2 = -2 Worked by Kendall Jones Checked by Kara Manning 39. lim sinx/x = 1 x->0

40. lim [x/x+1] - (4/5)/ x-4 = .040 x-> 4 Worked by: Anthony Lukefahr Checked by: Brice Simpson

41. Lim(x→-5) f(x)= 8

42. f(c) is defined.

lim f(x) exists. x→c

lim f(x)=f(c). x→c Worked by Hannah Smythe Checked by Jonathan Cox

43. a. Hiatus (removable) b. Jump ( non-removable) c. Asymptote (non-removable) checked by joey cahill

44. If [-3, 4] is continuous then one such variable f(c) must equal 0 since 0 is a number between -3 and 4.

43 and 44 worked my Thomas Sturm checked by emily othold 45. Worked by Warner Boin Checked by Heather Anderson 45. Worked by Olga Tobias