B. Evaluate the limits of the following: 1. lim Vx2 – 4 x→2+ 2. lim Jx(5 – x) X→5- 4x 3. lim x→4+Vx-4 5x2-4х 4. lim x→00 2x2+3 5. limyx6 + 5x3 – x³ 3 2+3x-5x2 6. lim 1+8x2

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

A:

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

A:

Q: Determine the limit using any possible methods Зx* — 7х3 + 2x2- 2х +9 lim x-00 4x* – 3x³ – x² + 11x

A: We need to determine limx→∞3x4-7x3+2x2-2x+94x4-3x3-x2+11x

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

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

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

Q: 22. lim √x + 6 x 3 x + 2

A: To find :-

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

A:

Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

Q: х2 — 2х-15 x2 — х— 20

A: We have to evaluate the following limit: limit as x tends to 5, [(x2 - 2x - 15)/(x2 - x - 20)]

Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

A:

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: Evaluate the limit 6x3 6x2 – 5x |- lim 7 3x 6x3 - -

A: Evaluate the limit in the following way:-

Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: If y = vb2 + x2 and y + Ay = Vb² + (x + Ax)² , what is the lim Y ? Ax0 Ax Select the correct…

A: Given, y=√(b2+x2) Δy=√[b2+(x+Δx)2]

Q: Find the limits x* + x lim Xo 12x + 128

A: The limit gives the value towards which an expression converges as its variable approach to certain…

Q: lim Va2 + 8x +1-x x 00

A:

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: 2x – -12x + 40 3x2 + x – 14 14) lím エ→2

A: We will find the value of the limit as following.

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: x6 – 3,000x5 lim x→-0 4x° + 10,000 9

A:

Q: Find the limits lim (V9x² – x – 3x) X00

A: Find the limits: x→∞lim(9x2-x-3x) Limit: Suppose f : R → R is defined on the real line and p, L ∈ R.…

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

A: To find the limit:

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: Evaluate lim(2x3 – 3x + 1) x-3

A: Topic - limits

Q: Evaluate lim x→0+ x3sinx

A: