Compute the following limits: 2 3 3h h-2h-2 (a) lim (d) lim h-0 √h+3-√3 (b) lim x-0 12-4 -2 12+10 +16 (e) lim (c) (1) lim 321-96 2-21-3 2-√F 444-x

Q: Find the limits

A: We will find the limit by substitution

Q: Evaluate lim x →∞ -6x²-x+6 -2x³ + x² + 5x +4

A:

Q: Evaluate |x2-41 lim X-2 X- 0/0 O Does not exist

A:

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: Find the limit

A: We can solve this limit using direct substitution. i.e. putting the value of x =1 in the given…

Q: 3 4x 7 lim x00 7x2+8

A:

Q: Find the limit: lim 8118 8-∞ 03 4 2 8 314 (3x − 1)√9x¹ +1 12x³-1

A:

Q: Evaluate the limit: x + 2 lim х — — 2 х2+ 3х + 2 ||

A:

Q: Estimate the value of the Limits 2x 2x lim -3+ x 3 and lim x-3 X-3 |

A:

Q: Evaluate the limit x2 + 8x + 15 lim x → - 3 x + 3

A: =?

Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

A:

Q: If limx--3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx-3[36x2 + f(x)- 3x]. O a. 11 O…

A: The given limit limx→-3x3+fx=-29. We have to find the limit of limx→-336x-2+fx-3x.

Q: (3x-1)² - lim x→1 (x+1)3

A:

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: (x+2)2 - 4(x+5) limx x- 4

A: Given,             limx→4x+22-4x+5x-4

Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: 2 x-3+ 3-x 6. lim 4 9-1²

A:

Q: x-2 22. Evaluate lim x+2 Vx2-4

A:

Q: Find the limits 3x lim x→-5 2x + 10

A: Our Aim is to find the limit of the expression given below:-limx→-5- 3x2x+10-(i)

Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

A:

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…