x+2 9. lim X→-00 X² ++x+1 (3x*-2x2 +17) 10. lim X→00 5x+3x3-2x

Q: 1) lim x-5 x² – 5x 2) lim x -5 x+6-1 x+5

A:

Q: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: How do I compute  limx→4(x^2−6x+8/x^2−4x)

A:

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: lim 2x2 + 7x +5 X-> -I x+1 lim 16 (Titx -1) | Xー76 lim 2x 3-54 X-7 3 X2-9 lim スーフ4 Nin -(ニル) x2-16…

A:

Q: 1. lim(2x – 5) x+4 2. lim(3x + 8) x-1 3. lim *+1 X-2 x-5

A: Disclaimer: Since you have posted multiple question, we will be solving first three. In case you…

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: 4. lim ¥3-ェーv3 エ 5. lim 2r2 – 3z+7 3ェ+ 3-3 エ→ 12 – 3r+2 6. lim エ→2 +ェー6 エ→2

A:

Q: 16. lim (2 – 3x) = –4 x → 2 %3D - 19. lim (1-3-) -- 3 20. lim 2 = 7 x → 5 21. lim x2 – 2x – 8 = 6 x…

A:

Q: Find each limit, if it exists.

A:

Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

A:

Q: 9. lim -2x-15 (3r-2)-(x+2) 10. lim -5 x-5 x-2

A: The limit of a function (expression ) is a value of that function (expression ) that approaches as…

Q: 4 – x lim x - 4 5- Vx² + 9

A:

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: 7. lim z+5* 15 3r 2- 2z-3 lim 73 22-8r+ 15

A: Find the limit

Q: 1. lim (3x + 2) X--3 2. lim(1-x2) -2x2+ 4) X-1 3. lim(3x

A:

Q: 2x2 – 12x 1. lim 1-6 r2 +x - 42 3- V25- 2 2. lim 1--4 r+4 3. lim

A:

Q: 1. lim x-> -7 f(x)=    2. lim x-> -3 f(x) =  3. lim x->-2- f(x)=

A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…

Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

A:

Q: 2x^5-x^4-1/8x^5+x^3+x-2

A:

Q: lim x→−4−  f(x) = (x+5)(x-3)^4                                       ÷…

A: The given limit can be simplified as limx→-4-f(x) = limx→-4-(x+5)(x-3)42(x-3)3(x+4)…

Q: 4x + 6 x -5

A: Given query is to find indicated limits.

Q: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12

A:

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

Q: Lim            [4(2x-1)2-196]/(x+3) x->-3

A: Given that the limit is

Q: x2-3x-4 3. lim x---1 x+1 1- -5 2- zero 2- 4- -3

A:

Q: Find each limit, if it exists.

A: Given

Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х — 3)2 (ii) Lim x-00 x2 7- 2x – 3 2

A:

Q: х2 + 3x + 2 lim х> -1 х2 —х — 2 Vx – 3 lim х— 9- х — 9 4 — х lim x→ 4 5 – Vx² + 9

A: To evaluate the limits. limx→-1x2+3x+2x2-x-2 Solution:…

Q: 28. lim x -2 x-4 V2+パ-V2-x 29. lim

A:

Q: x+6 lim x--6t x+ 6 lim x6 x6 Jx 6 lim x6 x6 =

A: If x-> -6^+ then x>-6That means x+6>0So, |x+6|=x+6Answer(a): limit x-> -6^+ |x+6|/(x+6)=…

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4

Q: 6. lim x2 - 5х + 4 x→-2 3-Vx+6 8. lim х-з х+3

A: Limit properties: limx→afx±gx=limx→afx±limx→agx limx→afxgx=limx→afxlimx→agx limx→acfx=c limx→afx

Q: 1. lim (4x – 7) 2. lim (x3- 2x² + x - 5) X-1 3. lim (x2 - x + 3)(2x – 1) X-2

A: 1. limx→04x-72. limx→1x3-2x2+x-53. limx→-2x2-x+32x-1 Note:     Multiple sub part are given, we are…

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: x-x-2 6. lim エ→2 (x- 2)² 4-V16+h 9. lim

A: 6. The limit does not exist. 9. The limit is, (- 1/8)   The detailed solution is as follows below:

Q: x2 – 2 3. lim x→2+ [x – x | x2 + 2x 4. lim x→0 x2 2.x - x2 5. lim x→2 10x + 16 - x2 – x – 2 - -

A:

Q: 1. 3. 8x lim *0 5 х— 7 4х+1 lim 3 2 +2 x +x+ 27 lim 2 X-7 X-0 2 X - 4

A:

Q: 25+x-5 4-limx-0

A:

Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

A:

Q: lim (√x²+4) x--> 0

A: limx→0x2+4

Q: lim Q3/ Evaluate -costx) 3 sec x (1+ X /2

A:

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…

A:

Q: Lim x--->2 x^2+5x+6/x+2

A:

Q: Lim x---> infonity positive 4x^3+x^3-1÷2x^3+5×-1

A:

Q: lim (x2 + 2)sechx X→+0

A: