1.3

When you post your problem, make sure you write "Worked by ..." or "Checked by ..." below your problem. 46. lim 2x^2-x-3/ x+1 = x-> -1 (x+1)(2x-3)/ (x+1) //cross multiply =// (2x-3) //substitution=// (2(-1)-3)= -5 2x-3

48. lim x^3+1/ x+1 x-> -1 (x+1)(x^2-x+1)/ (x+1) //cross multiply=// (x^2-x+1) //substitution=// ((-1)^2-(-1)+1) =1+1+1 =3 Worked by: Jason Sham

16. Lim 2(3)-3/ X-3 3+5

Lim **3/** x-3 **5** 18. Lim (square root) 3+1/ x-3 3-4

Lim **-2** x-3 Worked by Michelle Tassin Correct, Checked by Hayley Linton

20 lim 3√(x+4) x→4 2

22 lim (2x-1)3 x→0 -1

Worked by Zarion Hilaire Correct Checked by Matt Harry

26. Worked by Hayley Linton . 28. lim tan x x-Pi sin x/cos x= (sinx/x) (1/cos) = 1
 * Checked by Bryan Rucker**

30. lim sin (Pi x)/2 x-1 sin (Pi (1))/2 = 1 Worked by Jonathan Cox Correct Checked by Will McCrocklin

38. Worked by Erin Randall A. lim[4f(x)]. lim[4f(3/2)]=6 B. lim[f(x)+g(x)]. lim[f(3/2)+g(1/2)]=2 C. lim[f(x)g(x)]. lim[f(3/2)g(1/2)]=1/4 D. lim f(x)/g(x). lim(3/2)/(1/2)=3 Correct!!! Checked by Angela Teodoro


 * 1) 40) Worked by: Lilly Byrd

lim 2x^2-x-3/ x+1 = x-> -1 (x+1)(2x-3)/ (x+1) //cross multiply =// (2x-3) //substitution=// (2(-1)-3)= -5
 * 1) 46.

lim x^3+1/ x+1 x-> -1 (x+1)(x^2+x-1)/ (x+1) //cross multiply=// (x^2+x-1) //substitution=// ((-1)^2+(-1)-1) =1+1-1 =1 Worked by: Abby Newton
 * 1) 48.

54. lim root2+x - root 2/ x * root 2-x +2/ root 2-x- root 2 x->0 56. lim root x+1 -2/ x-3* rootx-1-2/rootx-1-2 x-1-4/ x-3 (rootx-1-2) x-3/x-3(rootx-1-2) 1/(rootx-1-2) 1/root 2 - 2 worked by sheridan gabrisch checked by Bryan Rucker

67. 1/5 you mutliply the 5 to both denominator and numerator then cancel the sins and the 5's out, it becomes 1/5. sinx/x becomes the numerator of 1 and 5 is left as the denominator. 68. 0 the (1-cosx)/x is 0. 0x3=0 worked by Hyun Bang checked Audrey Luecken 71. lim Sin^2(x)/x x ->0 (Sin x)(Sin x)/x= lim Sin x=0 x ->0 73. lim ((1- Cos h)^2)/ h h ->0 (1- Cos h)(1- Cos h)/ h= lim 1- Cos h= 0 x ->0 Worked and Checked by Drew Galbraith

75. The limit as x approaches pi/2= 0; b/c the (cos(pi/2)((cos(pi/2))/(sin(pi/2)))= 0*(0/1)=0. 77. the limit as x approaches 0= (sin3t)/(2t)=(sin(t+t+t))/(t+t)= 1*t=t Worked by Nadia Guillen Checked by Hannah Smythe

84 and 85 correct!? (Peyton Stackhouse)

87. lim f(x)=4 88. lim f(x)=b 121.DNE oscillates Worked by Rachel Rilling Correct, Checked by Marla Roper