x-2 2. lim 2 x-8 x+3 5. lim 1/x+1/3 1 8. lim X-1 x-1 11. lim X-0 sin x 14. lim (x-3) cscx

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Q: ,- 3y sin (4x) - 3y - 2 e sin (4x) Find lim - 4x (х,у)—> (0,0) - 2 e sin (4x) lim - 4x (х,у) — (0,0)…

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Q: sin x 3. lim -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) x-2 4. lim x2+x-6 X-1 0.9 0.99 0.999 1 1.001 1.01…

A: To find limx→0sin(x)x numerically. Find the f(x) values for each x value using function f(x)=sinxx.…

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A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

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Q: 1. 2. 3. lim 2 tan () lim – () 2-16 (x²–16 x+2 lim х -3 х-2 x →4 2 4. 7. x2 -7x+12 5. lim x →4…

A: Limits are given, we have to the find the given limits

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A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

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Q: 1) lim (2x – 3) = 1 %3D x-2 2) lim|x| = 0 3) lim x2-9 6. х-з х-3 9 3

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Q: 8x+4-4cos?x+tanx Q1) Find lim x-0 4sin2x

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Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

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Q: 1- cos(x/6) lim II

A: Solve the limit

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Q: x² - 4 3 X-2 x³ -x-6 1. Lim 1 X-0 X 2. Lim sin x

A: We have to find the limit of the given function. Here we use L hospital rule .

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

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Q: x2-4 1) lim x-2 x-2 sin 2x 2) lim 1 1 3) lim(-- X-0 x VX

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Q: 5. Evaluate lim sin(x)– (x² + 3x – e*). (x³ – 2x2 - 6 + 3x) 6. Evaluate lim X→2 х - 2

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Q: 3/x – 3 (k) limx→-∞ 5 - x x³ +1 (1) limx→-∞ Cos -0- x6 +x5 + 100

A: For (k), We need to find limx→ -∞ x-35-x3. So,            limx→ -∞ x-35-x3We know that,…

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A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: find the limit or explain why it does not exist.

A: Question (1) - Let the limit be y - y = limx→0 x2-4x+4x3+5x2-14xy = limx→0 x-22xx2+5x-14y = limx→0…

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in…

Q: 1) lim X-2 2x-4n x(1-cosx) 2) lim х-0 tan(tan?x)

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Q: 1-x c) lim- x1 1-Vx こ 11- sin x d) lim エー→0

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Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

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A: Given query is to find indicated limits.

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A: Given- limx→1x2-1x10-1

Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

Q: 1-sinx x²-49 b. lim x→7 x-7 lim C. lim X→00 x²+1 a. X 1-cosx

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Q: F(x)={tan(x+3) x3-) f(x) Photo better depicts problem, thank you!

A: Given,           Fx=tanx+3x&lt;-3x+33+1-3≤x

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A: by using limit algebra and L' hospital rule

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Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

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Q: 26.lim(1 + cosx)2secx x 2 27.lim (G– x) tgx 27.lim ( - 2

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Q: 18. L6. 4- x² lim lim x² + 3 x→2 3- vx²+5 lim (2x x →2 x →0 21. 19. 20. lim v25 – x2 lim 12 sin (÷)…

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Q: lim = e7x- e6x/ex-1 x>0

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Q: x- 4 lim Ix - 5x + 4 a. 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) b. 1 lim -0.1 -0.01 -0.001 00.001 0.01…

A: (a) If the function is f(x)=x-4x2-5x+4, then x 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x)…

Q: (x+h)³-x³ lim h→0 h. sin(3w) lim w-0 2w sin(h)(1-cos(h)) lim

A: We know (a+b)3 = a3 + 3a2b + 3ab2 + b3 limx→0sin xx = 1 limx→01 - cos xx = 0

Q: 1-cos (4x) e) lim x0 2-2cos (6x) (x+1)2 + (2x+3)³ 3x2(8x+1) h) lim X00

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Q: c) lim x-+0 tan 3x 1- Jx e) lim x 1-x g) lim(\n² +1-n)

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

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: et 1 lim (→0-

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A: To evaluate: limx→∞π/xsin(π/x)

Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

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

Q: x2 h) lim - x+0 1- cos?2 x tan 7x i) lim X-0 sin 3x sin(x? + 3x + 2) ji) lim x+ 2

A: