2 4x -2 x> - 1 Consider: f(x) = 8x + 8 x< -1 5 x= - 1 Find lim f(x) and lim f(x) and lim f(x) + X→-1 x→-1 x→- 1*

Q: 2 -8 21. lim X3 3-x e2x-4 – 1 23. lim x+2 x2-4 25. lim X00 x2 +1 2.

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Q: x'+3x +3x+1 2x' +3x -1 (i) Find lim- 1-3x x< 4 ii) Find the values of A, so that the function f(x)={…

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Q: x2 - 4x- 21 lim X-7 X-7 x² - 4x-21 lim (Type an integer or a simplified frac- %3D x- 7 X-7

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Q: f(-4) =1 and f (0) =0 f '(x)-3 f '(x)> 0 if x0; ƒ "(x)>0 if x<0 lim f (x) =- and lim f(x)=0 lim…

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Q: 4-x V6-5x+x f(x) = 1- find the domain 2- find lim f(x), lim f(x), lim f(x) x2 x-2 x-+2

A: givenf(x)=4-x2x2-5x+6solving x2-5x+6 by factorization method=x2-2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)and…

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: 2-x 3. lim X-2 Vx-5

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Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: 1 a. lim X-0* X

A: Given: limx→0+1x4

Q: 3-x x F(x) = (₂ + 1 (a) Find lim f(x) and lim f(x)? x-2+ x-2- (b) Does lim f(x) exist? why? x-2 x 3

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Q: 2 -2 2 4 lim_f(x) = 10. lim f(x) 9. x→-3 x→3 11. lim f(x) 12. f(-3) = - x→0 13. lim f(x) = x→4- 14.…

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Q: x² - 4x-5 x-5 x² +6x + 8 x+2 13. What is the limx-5 14. What is the limx→-2 15. What is the limx-…

A: Since you have posted a question with multiple we will solve the first question for you. To get the…

Q: 1. lim 13m45 – 6m12 + 100m - 42 x2 - x-6 2. lim I-2 x2 – 2 6 - x + 3x2 3. lim 2л - 4

A: 1. limm→∞13m45-6m12+100m-422. limx→-2x2-x-6x2-23. limx→-∞6-x+3x22x-4 Note:   There are multiple…

Q: x + 2x-35 Evaluate the limit: lim エ>5 2x + 10

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Q: x²+1, x>2 f (x) ={ 2x – 2, x<2 1. lim f(x) 2. lim ƒ(x) 3. lim f (x) x-2- x-2+ x-2

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Q: 2 - x lim x-2 Vx + 2 - 2

A: we have to evaluate the following limit . For this we can use rationalisation

Q: x³+2x2-3x x² +4x+3 2) Evaluate lim -6-1. X-3 Show every step.

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Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim…

A: Ghj

Q: 52. If lim f(x) = 6 and lim, g(x) = 3, find x-2 (a) lim [5 f(x) - 4g (x)] (b) (c) lim [4 - xf(x)]…

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Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

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Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

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Q: x² - 36 lim X6 x+6 (a) Vx+11-4 lim (b) x-5 (c) lim- x2 2-x x +6x+9 lim (d) r+3

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Q: lim - 4 Evaluate x → 2 x + 2 V3x - 2

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Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

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Q: 22 - 3x – 10 Evaluate the limit: lim 4x + 8 Z-2

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Q: x²-9 -,x+-3 Q.1. Let f(x)={x-3 Find the value of k for which limf(x)%3Df(-3) x->-3 k-5k+6,x=-3

A: The function: fx=x2-9x-3x≠-3k2-5k+6x=-3

Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: X. lim (3x – x -3 - 2) (2x² +4x+5) K. lim x+1 2x2+2x-4 Z. lim x-1 x-1 a. lim (+3) а. N. lim – (-16)

A: We will find the limits as shown below

Q: 3. (a) limf(x) 5 ! (b) lim f(x) 4 3 (c) lim f(x) 2 (d) limf(x) 4 -3 -2 -1 1 2 3 4 -1! -2 -3 A

A: topic - limits

Q: 9- 9 – x+ z* lim (1) *→2 x-2 x +x-6 lim . X00 (2) x-2

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Q: 5- 4- 3- 02 -4 -3 -2 -1 2 3 4 -4 t-5+ Find lim f(æ) x → -1- Find lim f(2) x→ -1+ Find lim f(x) x→ -1…

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Q: 25. lim x'-8 -4 26. lim x - 2 1 27. lim x-2 x-4

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Q: 2x and lim x→3- x - 3 2x Find lim x→3+ x – 3 -

A: Topic- limit

Q: x+x-5 (1) Find lim 1-2x-x

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Q: 5-Vx 4) lim x-25 x-25 5) lim 7-x ל-x ( x² – x3 if x <2 6) Given the function g(x) 15x – 14 if x 2 2…

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Q: x2-9x+20 d. lim x-4 x2-3x-4 e. lim +2)2-4 X-0 3x2-x-10 f. lim- x-2 x2+5x-14

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Q: 2-/x+1 The value of lim is the same as X- 3 X+3 1 - lim x+3 Vx+1+4 A 1 (B В lim x+3 Vx+1+4 1 c) lim…

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Q: x²- 3, x<1 4, x =1 lim f(x) = a. X→1 23. For f(x) = - 2x, 1<x<2 b. lim f(x)= |-x³ +8, x22

A: First we have to choose function for the given limit  Then insert the value of x in the chosen…

Q: (x-1)(x2-9) lim (x-3) x + 3x + 2 lim. 1-x V+8 -1 lim x+1

A: NOTE: Hi! Thank you for your question. As per the honor code, we are allowed to answer three…

Q: X - 4 (a) lim x→4 x´ -x-12 x² - 27 (b) lim .3 x² -9 (x+h)° – x² (c) lim h→0 h ||

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

Q: V6-x-2) 1. Find lim 『→2 v3-xー1

A: According to our guidelines we can solve only the first question. Please repost the other questions…

Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x

A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…

Q: x-2 Evaluate: lim x--1- x2+2x+1

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Q: Given lim (4x-3) as x approaches 1. Use the definition of a limt to find a number delta such that…

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Q: 3 - m3 x + 2 2 . lim lim x-2 x + 2'x2 – x – 6 A- m4 lim as x approaches m 1. LO

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

Q: [3-x x 2 a) Find lim X-2+ f(x) and lim X-2 f(x) b)Dose lim f(x) X-2 exist ? why?

A: We use the definition of the existence of two sided limit to answer the question.

Q: x-2 Evaluate: lim Vx-1 - 1 X-2

A: Givrn limit, limx→2x-2x-1-1 is in 00 indeterminate form

Q: (x-a) 2. lim x→a Vx-³Va

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Q: 3. lim f(x) = -2, X-2 4. X-3 lim f(x) = +00, lim f(x) = 2 and f(2) = 0 lim f(x) X-3* %3D = -00

A: