Explain why lim(3x² + &x) can be evaluated by substituting x = 2.

Q: (4). lim x2 +1-x

A:

Q: 1+/ lim x-1 2x² + x1

A:

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

A:

Q: evaluate the Ilimits 3. X+2x 2. lim メー→○ X42x

A:

Q: 3. Explain why lim √2x - 6 does not exist.

A: 3. The given limit is limx→32x-6 Note:    Multiple questions are given, we are answer with only one…

Q: lim (In 2x + 5) + 4 r→-1

A:

Q: Evaluate using substitution.

A: To evaluate: limx→2(5x-12x-2) Solution: Given,limx→2(5x-12x-2) (Its not in any indeterminate form,…

Q: Vx +1-1 2. lim

A: we have to find limit

Q: 3.) lim r/z2

A: let t=x1x2ln(t)=1x2ln(x)t=e1x2ln(x)in the question it is asked to find the limit of t when x tends…

Q: In view of part (a), explain why the equation x4 – 8x² + 16 lim lim(x - 4) X→2 x2 – 4 x→2 is…

A:

Q: Evaluate using substitution. lim (5x - 12x- 2) x→ -1

A: Given limit is,

Q: Please show step-by-step solution of the problem.

A: Consider the equation

Q: Explain in your own words what is meant by the equation lim f(x) = 5 x2 Is it possible for this…

A:

Q: Evaluate using substitution.

A: The Given limit is limx→-11-8x33/2

Q: What is the value of x² – 9x + 20, lim r→4 x² + 2x

A:

Q: In x2 lim

A: Given: The limit is limx→∞ln x3x5. Evaluate the limit using L'Hospital's rule. Concept used:  1.…

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: lue of lim X→-4 2x+8 x²+2x-8* Remember to fully justify your.

A:

Q: 5. lim (Vx2 +x + 1 -

A: We have limx→∞x2+x+1 -x

Q: Evaluate: Express your answer in three decimal places. limx→8 √√x-2

A:

Q: Evaluate: " 3x3-3х2-18х lim xsinx+2 sinx

A: Value=?

Q: 2n = [4x – 8| lim n→0 n + 1 2 |4x – 8|

A:

Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: Evaluate using substitution.

A: To find limx→2x3+4x Substitute x = 2 in x3+4x                    limx→2x3+4x=23+4(2)…

Q: Prove limxto1 (30x - 2)=28

A:

Q: 2 - Vx2 - 5 lim X-3 x+3

A:

Q: Vx² +9 – 3 lim 2

A: Given  limx→0x2+9-3x =limx→0 x2+9-3x2+9+3xx2+9+3         multiplying x2+9+3 on numerator and…

Q: evaluate using substitution.

A: We substitute x=3

Q: 7x2 lim Does not exist

A: To Determine: find the limit  Given: we have limx→07x2x2 Explanation: we have limit limx→07x2x2 let…

Q: In your own words, define what it means to say limx→4 f(x) = 7?

A: Definition of limit says: If the limit exist at any point say x=4 then; Left hand limit:limx→4- f(x)…

Q: x³ - 125 lim x-5 x - 5

A:

Q: 1-x 6. lim X-3 X+3

A:

Q: |2x – 4 lim x→2- 2 — х

A:

Q: lim ( 125, + 2 2x – 7 x→5

A: Find your answer below

Q: Evaluate х-3 limx→3 x2—х-6 А. 0.5 В. 0.2 С. 0 D.

A:

Q: Evaluate using substitution.

A: Let the given limit be y - y = limx→3 x+2x2+2xy = limx→3 x+2xx+2y = limx→3 1x

Q: 2x2 +2x-4 lim X→1 X-1

A:

Q: Explain the meaning of lim f1x2 = - 0. xSa"

A: Given:                   limx ς a+ f1x2=-∞   To determine:                        Meaning of this…

Q: Evaluate using substitution. lim (2x3 - 4) x→ -1

A: Given: limx→-12x3-4

Q: Lim 4x+2

A:

Q: Evaluate limx→∞ 3x^2 - x - 2/ 5x^2+4x+1

A:

Q: X-SINX 2. lim X0

A: Given: To solve asnwer number 22. limX→0 X-SINXX3

Q: Suppose I tell you that limx→6 f(x) = π. What can you conclude about limx→6+ f(x) and limx→6− f(x)?…

A:

Q: Illustrate how the product law, difference law, constant multiple law, and identity law are used to…

A: We Know that  Limit Laws : Let  and  be defined for all  over some open interval containing . Assume…

Q: Explain the meaning of lim f1x2 = L. xSa

A: Given:                 limx→a-fx=L

Q: Using direct substitution, what is lim²+6z_5, Z-2 223 O 1 O 1 O does not exist

A: We have to find    limx→2x2+6x-5x2-3

Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to…

A: