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

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: (2x – 5, x 2 0 lim h(x) = x→-4 where h(x) = x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4.001…

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

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Q: Зх-7 (1) lim x--o V4x2+x-11

A: Explanation and solutions is given below....

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

Q: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

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Q: (2 -1) s lim z

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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

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O…

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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: 4. x- 1 lim x- Vx + 5-3

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Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

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Q: 20 -5 -4 -3 2 3 -1 -2 -3 -5 -6- Enter your answer as an integer or reduced fraction. If a limit does…

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Q: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

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

Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…

A: Given: f(x) :  -7  ;  x ≤ -3 (x+2)3 - 6 ;  -3 &lt; x &lt; 0 ( x -2)2 - 5 ;  x ≥ 0

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: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: lim In(x+3) 4) 1

A: Evaluate :     limx→∞ln3xlnx+3

Q: Find the limit.

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Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: 5.6. Prove that: (b). lim z0 Z (а). lim does not exist, = 0. - ||

A: The given problem is to prove and evaluate the following complex variable limits.

Q: 2sin x lim -0 e - 1 lim - 5 cos x o e - x - 1 4 - 4e* lim -0 xe

A: As per our guidelines, we are allowed to answer the first question only please resubmit the other…

Q: 2n j3 lim - 24n n00 j=1

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Q: 27+x- 5 Compute lim II-2 x+2

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Q: H-w in limits 3-3- 2.21 9 iaam ) Lim. 1- CosC2K) Sin (24) 2 - メャ3 2) Lim x2x -3 3) Lim (X+4}-16

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Q: Prove the limit doesn't exist

A: cc

Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

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

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: 1:3.5. - - (2n-1) now lim lim (n+1)! 1.3. 5-- - (2n-1)

A: Step1: Here to calculate the limit we value we have used the limit ratio test , where we the given…

Q: 1. Evaluate a) lim b) lim X-T K1O the limit sinx x²-x2 4 In (1-x) + x + == x² 2 23

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Q: x² - 225 = 30 Give an ɛ-ô proof of lim X- 15 X→15

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Q: 5. 6. 7. 8. √√x-1 lim- x-1 x-1 x³-x²-x+10 lim X4-2 x²+3x+2 2x²-x-3 lim x-1x³ + 2x² + 6x +5 lim…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

Q: (1) Find the following limit: x2 – 5x+6 - (a) lim x-2 x2 +x-6 ex +e-x - 2 (b) lim x2 In(x) (c) lim X…

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Q: x2 - 16 - if x>0 x + 4 2) Let f(x) = %3D x2 - 16 - if x<0 X- 4 Find lim f(x). x-0-

A: First I have written the definition of left hand limit , just use this definition for given function…

Q: Lim é-x- つo 1+oS T-X-7

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Q: lim In(10x) x-0t

A: To find the below right-hand limit.

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

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Q: (1) lim t2 (2) lim x0 Vx2 +3 2x + 1 -1 x00 7 - t2 x2 1 (4) lim 3t2 n2 (6) lim x0 Vn3 + 2n 5t (3) lim…

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Q: 10. 11. 12. 13. 14. 15. - y = ²7 x − 8 As x 16. by Y by lim 25 2+6 LIMIT VALUE: lim #--1 LIMIT…

A: We have to solve above question  As per given bartleby guidelines we have to solve 1 question if you…

Q: 3. Prove lim 3x-7= 2 X-3

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Q: 1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and…

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