2. Complete the table and use it to find lim numerically. x-2 x -2x-8 -2 x² +2x x² - 2x-8 x² +2x lim x+-2 x - 2x-8

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

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

Q: x + 2 lim (x + 3) -2 b. x + 2

A:

Q: Evaluate the lim x + 3 2r2 – 3x + 1 5x +4

A:

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: Find lim (3x2 – 5x + 2) X+ 2

A:

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

A: We have to find limit

Q: 9x + 1 lim x - 1

A:

Q: Find the limnit L. X - 3 1. lim X4 X- 4

A:

Q: V13-x - 2 4-Vx +7 Evaluate lim-

A:

Q: Ex: Find lim, 3f(x) if f(x)%3D x-1 13x-7 x > 3

A:

Q: Calculate:

A: we have to evaluate the limit. limx→3x2-4x+3x2+x-12

Q: Find Lim z-2Z+4 2. -im. Z-1-13i

A: This question is related to limits, We will solve it using given information.

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: Determine the * -2x3-4x +7 lim x + 10 -00 0.

A: Given:         limx→+∞-2x3-4x+7x+10    Divide by highest denominator power:…

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

A:

Q: Evaluate 7x + 10 lim xS5 x - 5

A:

Q: EVALUATE

A: We divide the numerator and denominator by x.

Q: bx²+18x+2b What is the value of b so that lim exists? x2+x-2 x-1

A: Limit for certain function exists if it returns some real value, and is not indeterminate. In case…

Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

A:

Q: -2x-4 Find lim→-2 3+2x² ||

A: Using L'Hospital rule to calculating above.

Q: - lim V12 - 31-3

A: When limit is of the form 00 or ∞∞, then L-Hospital rule is used. In this rule, we take the…

Q: – 5x I lim 2x(1–5x) 7x² +3

A:

Q: 4x2 -x limx--0 2x3-5

A:

Q: Evaluate 5x3 – 2x2 +3 lim – 8x³ + 4x – 1 X- 00

A:

Q: d) (x+27) -3 X lim-

A:

Q: a lim 6. *a Jx- Ja -x

A:

Q: Find the value of the expression lim t→ꝏ -e-3t +5

A: The objective of the question is to find the limit of the expression -e^-3t +5 as t approaches…

Q: (3x² +12x -8x+1) im = 3. (x²+2)(3x-1)

A:

Q: Determine the value of lim,00 7²+5 a +3r+7

A:

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: x³ +7x X-00 √4x³+5 Find the lim

A: A detailed solution is given below.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.