limits+3+methods

lim -1/x+1 = -1 x->0
 * 1) 1-16, Worked by Hayley Linton Checked by Michelle Tassin [[image:limits_3_methods.jpg width="480" height="430"]] [[image:limits_3_methods_II.jpg width="720" height="66"]] 17. (3) ^2 + (3) + 1 / (3)^2 -2(3)=13/3   18. -(3x^2+2x-1) / x+1   = (3x-1) (x+1)/ (x+1)   =3(-1)-1= 4   checked by sheridan gabrisch   19. sqrt. (5+y+) - sqrt. 5/y * sqrt. (5+y) + sqrt. 5/ sqrt. (5+y) + sqrt. 5   =5+y-5/ y((sqrt. (5+y) + sqrt. 5)   =1/ sqrt. 5 + sqrt 5= 1/2 sqrt. 5   17-19 worked by emily othold   Correct... Checked by Louis Ortiz   **20.** lim [ (1/x+1)-1]/x   x->0   Lim 1-(x+1)/x+1 * (1/x)   x->0   lim 1-x-1/x(x+1)  x->0

Wrong (?), Correct Answer: infinity. Checked by Lilly Byrd

**21.** lim [3(x+Δx)^2-3x^2]/Δx

x->0 lim 3(x^2+2xΔx+Δx^2)-3x^2/Δx x->0 lim 3x^2+6xΔx+3Δx^2/Δx x->0 lim 6x+3Δx = 6x x->0 Wrong (?). Correct Answer: 0. Checked by Lilly Byrd

**22.** lim [3(x+h)-1]-(3x-1)/h h->0 lim 3x+3h-1-3x+1/h h->0 lim 3h/h = 3 x->0 Correct! CHecked by Lilly Byrd

20-22 worked by Layne Miller WS. 2 #1 a. 11 should be 5  b. 9 c. 2  d. -1/3 e. -3/8  f. 0 g. DNE  h. -6/11 worked by Matt Harry  2. a) 2  b) DNE   c) 0   d) DNE   e)8 ﻿should be 16   f) 2   Worked by Kara Manning   Checked by Kendall Jones