Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If an answer does not exist, enter DNE.) lim |2x+4]-|x3+8| = a. x- -2- x+2 |2x+4]-|x3+8]| b. lim x - -2+ X+2 c. lim 12x+4|-|x3+8]| x+2 x- -2

Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real…

A: Simplify the numerator. Thus, the limit becomes,

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: Vx+5-3 b) lim x→4 х-4

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: 3* –3-* lim x→∞ 3x+3°

A: Since you have posted more than one question we solve the first one for you. For the remaining…

Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: Evaluate lim(1 – 2x)ž. x-0

A: To find the limit It is in the form 1infinity , so use the below steps. When (0/0) form comes , we…

Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real…

A:

Q: 2x²+3x Evaluate lim,→∞ x3+x+1 O None O O

A: We have to find limit

Q: 1.) Evaluate each of the following limits. a.) lim (x2-3x + 1) x-2 x-1 b.) lim x-1x²-1

A: (a)  To compute     L = limx→-2x2-3x+1  Then we have L = -22-3-2+1

Q: x* + x? 1 lim

A:

Q: 2y dr - y dy y (x-2y) dy, y(0) =-1 O x = 2y - e +3 %3D a y = 2r- e+3 0x= 2y-e+3 O x = 3y + 2e +1

A: Given DE is 2y dx-y dy=y(x-2y)dy ⇒dx-12dy=12(x-2y)dy⇒dx=121+x-2ydy⇒dxdy=12+x2-y⇒dxdy+x-12=12-y Which…

Q: The value of the limit 2-x3 lim x2+3x3 is Select one: -1/3

A: The given expression is limx→∞2-x3x2+3x3

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A:

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: Which limit is equal to -11 + 372? lim (- 11+ r2²) 11+ TX O lim (-11+ 3x) O lim (- 11 + Tx) エ→3 O…

A:

Q: 1 lim x+1 4x - 12x +9 2x +x+1

A: We have to solve given problem:

Q: EVALUATE

A: We divide the numerator and denominator by x.

Q: Find the limit

A: Given: limx→73xx+2 for evaluating given limit, we put x=7 in given limit

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: 4x2 - lim 3x +2 1 - 2

A:

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: Find a real number b such that x²-6x+5 26 lim x-5

A:

Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

Q: 4x 4 lim, -1+( - x-1 In x 4 1 O 2 3.

A: Given : limx→1+4xx-1 -4lnx

Q: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

Q: Evaluate x2 lim За - 10 - x→-2 x + 2

A: