Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 + a²x"-3 + · .. + a"-2x + a"-12, where n is a positive integer and a is a real number. 32 lim xS2 x

Q: 1. Find the limit of the following: х* — 11x5 + 37x* +6х3 — 297x? + 621х — 405 - lim,-3 А. x→3 x° —…

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Q: Solve the following limits by algebraic method and by the corresponding theorems √9x +4-2 a) lim…

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Q: Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 +…

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Q: х — 1 X - 1. lim ( 1 2x – 1 |4x² – 1| x→2

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Calculate the following limit: -5•x3 + 22· x² -6•x lim X +0 7.x2 – 35 · x

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Q: Compute the following limits exactly. Vx+22 -10 lim X 78 X-78

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Q: Find the following limits : 3* - 3-x 3) lim x0 3x +3-x 3* - 3-* 4) lim x--00 3x +3-x

A: It is known that limx→∞x=∞ and limx→∞1x=0 .

Q: Analyze the following limits

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Q: Express the following limit as an integral. 7 lim Σ (5(at)* + 4x; - 6) Δr over 12,61

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Q: 2. Evaluate the following limits. x²-6x+9 b. lim X-3 x-3

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Q: Evaluate the following limits. 2- Vx lim x-4 4-x 3.

A: Given limit, limx→42-x4-x

Q: 2 lim,→5 – 4x + 10) 2 x* – 8x + 15

A: Given : limx→5x2-4x+10x2-8x+15

Q: Evaluate the following limits: [2х-у a) lim (x,y)→(3,2) ev2x-y 2.

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: Compute the following limits and write your answer to the boxes. lim 9x cot 8x 6x? lim x2 18x 60 - |…

A: Solve by limit

Q: Evaluate the limit. lim 2h+3 h245h+2

A: Topic - limits. The given limit is limh→−1 2h2+3h2+5h+2.

Q: Evaluate the following limit: 2x2 – 3x + 5 lim x→+∞ 5x² – x + 12 - - 12 o 3 25

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Q: Evaluate the following limits. Enter INF for oo and -INF for -o. 4Va + 11x-2 (a) lim Σ 3x – 13 -

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the following limits. Use the direct substitution for solution. 5. lim +-2341 2x-1 6. lim…

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Q: Evaluate the following limits using the limit theorems. Show your solutions. 1. lim (4x – 7) X-0 2.…

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Q: lim,+1+(1²-2-²-1) In

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Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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Q: evaluate the following limits (x+3)3-27 limy -20

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove the statement...lim x->3 ((5x-7)/2) = 4, using the epsilon and delta definition of a limit.

A: Given f(x) a function in x and f(x) approaches 4 as x approaches 3.

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -o. (a) V6+9x? lim x-00…

A: Solve the following

Q: Compute the following limits. (1) lim Ix-1 x-1 x-1

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Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

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Q: 2. Determine the following limit. 450 lim x→∞ 9+3 .1.2-0.25x+10

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Q: Evaluate the following limits. Enter INF for oo and -IINF for -o. (4 – x)(5+ 7x) - lim Σ x 0 a00 (3…

A: follow next step

Q: Evaluate the following limits and verify your answer. 7(x² - ³) lim (1.9)>(0.0) /x² – y² +1-1

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Q: Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 +…

A: Given: limx→ax5-a5x-a

Q: X-2 a. lim x-1x2+x-6

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Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: Evaluate the following limits: 3x-14x-5 lim- .2 4.x 5| a) x+5 2x2 -13x +15

A: Find the limit

Q: Evaluate the following limit. 10 x 4 +8 x 2 +8 lim 4 x 4 +3 x-1 X00 Worksheet

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Q: Find the following limits: 2х — 6 - (а) lim x→3 x² – 9 -

A: Multiple questions-"As per our company guidelines we are suppose to answer only one question.Kindly…

Q: Evaluate the following limits 2x2 – 3x + 2 1) lim x-3 2x3 - 3x + 1 z2 – 25 2) lim z--5 z+5 x² – 3x –…

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Q: Evaluate the following limits: x² – 4 -5x + 2 I – 1 (i) · lim 2+2 x2 + x – 6. . (ii) I¬∞ 5x² + 2x +…

A: (b) (i)

Q: Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

A: 3) To evaluate the limit: limx→2x2+4x-12x2-2x

Q: Evaluate the following limit ²+3t-10 -i+ et-2 – 1 j+ 2-t 2 -4 -k t+2 lim t-2 t+2

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Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

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Q: Evaluate the following limits x2+3x-10 lím 1. x+2 x2-8x+15 x-2 lim x+3 2-36 2. x-3 3. lim X+6 x+6…

A: 1.) The given limit is: limx→2x2+3x-10x-2.…

Q: evaluate the following limits lim        x-2/ x^4 −2x^3 +1 x→−∞

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Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

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Q: 2x+1 lim -00 Vr2+1

A: We know,   1/(- infinitive)  = 0  Now , We will find the limit.

Q: Complete the following tables. * - 5 r- 3 72 – 6x + 9. r- 3 ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99…

A: We can solve this by using definition of limit

Q: Evaluate the following limits. 3x+1 a. lim x--2 2-x

A: Given:  Let y=limx→-2 3x+12-x To Find: To evaluate the given limit.

Q: Evaluate the following limit. (3x²-y") lim (x.y)→(4,-4)

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