Problem 4 (a) 5x-3 – 4 (i) Lim- x- 2x-2 +9 (х — 3)2 (ii) Lim X0 x2 7- 2x – 3

Q: -2х - 4х +4 а. lim х3 — 27 х— 2 b. lim 9x² +1

A: Compute the given limits.

Q: evaluate the limit.

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Q: Problem 2.3 Evaluate 2x² + 3x + 1 2x - 3 lim x-1 x².

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Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: Problem 3.10 Evaluate „1000 1 lim x→1 1 -

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Q: Problem 4 (a) 5x-3 – 4 (i) Lim- X- 2x-2 +9 (х — 3)2 (ii) Lim X-o X 2 7- 2x – 3

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Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

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Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: 4 2 . 02- 9f 2xS 9x) s X-X+2 lim

A: Given: 2x≤gx≤x4-x2+2

Q: x5-5x-12 1. lim х—2 х10-500х-24

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Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: 1. 8x – 27 lim x 2x- 3

A: Here we have to evaluate the following limits,  1)

Q: Determine the following limits or state that they do not exist.

A: x3-5x2+6xx4-4x2

Q: 1. 2. 3. 2х-2 2x +2x-4 lim x →1 2x2+7x+5 lim x→1 vx²+3 –2 lim x →-1 х-1 x+1 4. 5. 6. 16(V1+x -1) lim…

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Q: -10x lim x0o 12 + 2x 2x – 6 lim x-0 x3 + 2x – 11 x2 – 14x – 6 lim 7 – 9x2 - x² + 8x lim 9x Vx2 + 8x…

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Q: x2 + 7x - 44 lim x-4 x u) -6x+8 x2 -4 lim xl x v) - 3x+ 2 x - 5x+ 4 lim x-1 w) x- x² -4 lim x-2 x-2…

A: By bartleby rules, only first three subparts have been answered To evaluate limx→4x2+7x-44x2-6x+8…

Q: Problem Set B 2 x +x-5 (1) Find lim 3 x→> 1-2x-x

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Q: What is the value of x2 -9 lim a-0 x2 x - 6 -3/2 O 2/3 3/2 O DNE

A: limx→0x2-9x2-x-6

Q: Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

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Q: * PROBLEM 3 Vx-4 3 lim x→13 \13-x Evaluate analytically the х-13)

A: Given:

Q: 1 2. lim,x

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Q: 12. If f(x) =x²-3x solve f(x)-f(2) lim x-2 x-2

A: Since the student posted multiple questions, I will give you the answer to the first question if you…

Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

Q: Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.

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Q: (-1)*k² 3k 3x+4x +5 lim a x + 6x +7 lim 12 00 k=1

A: Given, limn→∞∑k=1n(-1)kk23k=limx→∞3x3+4x+5a5x3+6x+7

Q: 4х — 1 Problem Find lim x +00 Jx2 + 2

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Q: X+1 3x-5 lim 3x+1 X-X

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Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

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Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

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Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: if f(2) = 4 f(2) =1 Then xf (2)– 2f(x). lim х - 2 X2

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Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Problem 4 (а) 5x-3 – 4 (i) Lim x-0 2x-2 +9 (х — 3)2 (ii) Lim X-00 x2 — 2х — 3

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Q: Problem 2.5 Evaluate lim x →0+ 1 (-/-)

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Q: x2 – x – 12 lim 2. Evaluat" t→4 3x – V16 – x

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: 1. lim(x+2x-3)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

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Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: Given statement, The limit of a function is the value it approaches as the value of x approaches a…

Q: Question 6 x4 – 16 The lim x+2 x3 -8 can be transformed to (x2 + 4)(x + 2) (A lim x+2 x2 - 4x+4 (x2…

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Q: (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞

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Q: Question 1 Vx-2 x->4 x-16 i. lim ii. lim lx-5 1 x->2 x+x-25 iii) lim (Vx +x - x) X->00

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x +x+2 1. lim 2 x→3* x - 2x–3 V 2. lim x→2* x-2 x² – 4 H-4 3. lim x→4 x-4 1 4. lim x+5* x - 5 x- 2…

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Q: Question 6 6x2-8x+12 Evaluate lim 2>∞ 13x³ 5x2 5x2-9x-27 6/13 ed Infinity Infinity тer

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Q: x²-2x-35 3. f(x) = x+5 -5.1 2.1 -5.001 -5 -4.999 -4.99 -4.9 х f(x) lim f(x) = %3D x--5

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Q: Problem 1 If lim,-15+2i (2 . + 30z) = a+ iy, what is the value of a - y?

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Q: Problem 4.7 Find the limits (а) lim 2x2–7 5x2+x-3 (b) lim (V9x² + x – 3x) (c) lim x sin

A: Please refer the attached image for complete solution.

Q: -12 -10 -8 -6 -4 -2. 4 10 12 nd i) lim f(x) ii) lim f(x) iii) lim f(x) iv) f(-8) X-2 %65 t m

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

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.