LL im (x-2x+1) X→-1 2. Lim X'+3 X²-5 3-Lim Yx3X+6 X→-2

Q: 4. lim xy (xy)-(0.0) v2-e-1

A: To evaluate limx,y→0,0xy2-exy-1 Substitute t=xy, then as x,y tends to 0,0 implies t tends to 0.…

Q: Calculate each of the limits in Exercises

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

Q: x-2 6. lim x-2-2-V4x-x- 7. lim (-1) t-o t \vt+3

A: 6. We need to evaluate limx→2-x-22-4x-x2…

Q: (2) 1: limx-1 sin(x3–1) x-1

A: limx→1 (2-1x)2sin(x3-1)x-1=limx→1 (2x-1x)2sin(x3-1)x-1=limx→1 4x2-4x+1x2sin(x3-1)x-1=limx→1…

Q: 3-Vx+3 6. (10) Find lim analytically (if it exists). X→6 X-6

A:

Q: -xy lim (x,y)→(0,0) x²+y2

A:

Q: lim 0 3x²+5 cos x- 2x -5

A:

Q: 1-coskx 2. lim kx = 0.

A:

Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: 2x lim x→0 Vx + 1 – 1

A: Given limit expression is limx→02xx+1-1.

Q: x4-16y+ lim (x,y)¬(2,1) x²–4y2

A:

Q: Calculating LimitsFind the limits in Exercises 11–22.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2x2 – x – 3 (d) lim x→-1 x² + 5x + 4 2x – 8 (e) lim r→4 x2 – 8x + 16 x2 (f) lim r--2 2x + 4

A:

Q: Compute 1) Lim X-3.9טTX 2) um X-71T sin x TT-X 3) um -X. X2-X-6

A: (1) The given expression of limit is

Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

A:

Q: why is limx->0[x^4 * cos(2/3x)] not equal to zero? I thought that if I plug in zero to x^4 it makes…

A: Given that: limx→0x4.cos23x

Q: 1. lim (2x + 5) 2. lim (10 - 3x) X12 --7 3. lim(-x + 5x- 2) 4. lim (x- 2x + 4x + 8) ュー-2 5. lim 8(t-…

A:

Q: 1. lim (y – 2y+7) 2. lim (y² +5y–1) y→3 y2 3w - 4w+2 3. lim 3w – 2w+7 w² +1 | 4. lim w2 w -5 w-1

A:

Q: 4 Find lim х — 4 Væ – 2 x→4

A:

Q: - m- J. lim x - 3 * x + 2 lim 2: *2x + 2'x² - x -6 3 m4 as x approaches m lim 2x – 12 lim x-+6 Vx –…

A: According to our guidelines, we can answer only 3 subparts of a question. Others can be reposted.

Q: 8. lim vx +6x+1-Vx² +x

A:

Q: 2x lim(x,y)→(0,0) x² + x + y²

A:

Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

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

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

A:

Q: 2-y lim 7+ 6y² y-

A:

Q: Зx +3x+5 х +2 1-cos.x (а). lim (b). lim

A: To evaluate the limit, limx→∞3x3+3x+5x3+2, plugin the limit and obtain the indeterminate form of the…

Q: if fn(x) – f(x)|dx = 0 lim show 1 |fn(x) – f(x)| |1+ fn(x)f(x)| lim dx = 0

A: In the given question w have to prove that if the integration  limn→∞∫01fn(x)-f(x)dx=0then…

Q: lim y approaches 0  ................... [5y3 + 8y2]/[3y4 - 16y2]

A: Consider the given function as limy→05y3+8y23y4-16y2

Q: 3* –1 lim V1+x -1,

A:

Q: x-2 j) lim -3x+2 3x+2x lim 0 x+4x k) x2 -3x+2 lim 2 x - 2x I) lim -x 1-x im m)

A: We will find the value of Given limit.

Q: z² +et= 1-400 2z-e² 2* - 3* 17. lim- x-0 18. lim cotxln(x+1) x-0 16. lim-

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

A:

Q: #1. lim t-tvt 213/2 12 +3t – 5 t→ 00 #2. lim x → - o0 x' +1 #3. lim tan1 (In x) x → 0+

A:

Q: 1 1 dz = lim V3(w + h) – 2 V3w – 2 h 1- dw h-0

A:

Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

A:

Q: x+y lim In ху (xy)-(1,1)

A:

Q: 5. lim (ex – V2x) x→0+

A:

Q: -11x lim I+00 11 + 2x -1 6x – 12 lim 1-00 r3 + 9x – 14 ,2 lim x→0 12 – 15x? V2² + 15x lim 5х — 13…

A:

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

A:

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: 4xy lim Compute the (xy) (0,0)

A:

Q: 1. lim ux-121 X-3

A:

Q: 13x3sin(는)= 13 2.플) .3, lim %3D (x.y) → (1,-

A:

Q: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: 1 lim x-0 X 1 ´dt x4 1 = ? 3x2

A:

Q: 2x (1) lim x→0 3– vx+ 9 -

A:

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: b-4+ Jb 3x(x – 4) Answer "True" or "False" for the following: In(x – 1) Ji 3x(x – 4) In(x – 1) |…

A:

Q: -2x - 4 f) lim x--2 x + 2x ut | g) lim u-1 u3 1 4х — х2 h) lim x-4 2 - Vx Ya

A: As per our guideline we are supposed to answer only first three subparts. Kindly repost other parts.…