1 1 х — 1 x+1 h (a) Lim (b) Lim h-0 V5h + 4 – 2 = -2 %3D t3. (c) Lim t-1 t- 1 = 3.

Q: 2 cos(4x) – 4x2 – 2 lim - I→0 sin(2x)- x2 - 2x

A: We have to evaluate the limit limx→0 2 cos(4x) - 4x2 - 2sin(2x) - x2 - 2x

Q: arctan(kx) e2x – 1 lim \k=1

A:

Q: arctan(kx) e2x – 1 lim k=1

A: To evaluate, limx→0∑k=18arctankxe2x-1 Then, the above expression can be re-written as,…

Q: Can you please answer this question and show all of the steps and say the correct letter

A: Consider the limit

Q: Limits involving conjugates Evaluate the following limits

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A tank initially contains 50 lb of salt dissolved in 250 gal of water. Starting at time t = 0, water…

A: A tank initially contains 50 lb of salt dissolved in 250 gal of water. Starting at time t = 0, water…

Q: sin 2t lim t- 2t

A: To find:limt→ 0sin2t2t

Q: 1) lim y-4 x+6x+5 2) lim 2-3x-4 t+3t2-12t+4 sin3h-2h 3) lim 4) lim 3-4 gin

A:

Q: 2x lim x→0 Vx + 1 – 1

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

Q: 25-и-5 e. lim u-0 vi+u-1 f. lim (3x² + 1)-2 x--00 2x? g. lim X+0o x²+1 x3+x

A: To evaluate the limit: e). limu→025-u-51+u-1 It is 00 form. We will evaluate the limit using…

Q: b. lim cos(x)-1 x2

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: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO FO x-5 • lim х-5 х2-25 = 10 FO

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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: 1 - e7x lim 5x -0.1 -.01 -0.001 0.001 0.01 0.1 f(x)

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Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

A:

Q: 3. Find the values of the constants a and b such that Va + bx – V3 - lim x → 0 3.

A:

Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

A:

Q: Vx+2-3 (a) lim x→7 х—7 4x +3x – 10 | (b) lim х> -2 х* +8х +12 sin xcos x (c) lim x→ 0 x(х + 6)

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Q: tan( xy) lim (х.у) >(0.1) х"у+x = ? 1 (b) 2 1 (c) 3 (a) 0 (e) 1

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Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

A:

Q: 8 d. lim 1+16 I-4 I- 16 V9r2 + 4 lim e. 2r +1

A: Explanation of the answer is as follows

Q: 1 + cos(x) a) lim %3D 20 -x ) lim x-1( In(61x-60)

A: Given, limx->π (1+ cos (x))/(6(x-π)²) = (1/6)limx->π (1+ cos (x))/((x-π)²) = (1/6)limx->π…

Q: 1) lim Ax) = -2 x- 5 2) f'(5) = DNE

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: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 2x? — х — 1 lim b) х--1 4 — 3x? — х x² + 3x +1 lim x→-1 2x? – 3x – 5 а) VE- 2 m³ – 8m + 1 lim lim -…

A: e)

Q: 2y-n у-п lim п cos y y-

A:

Q: x cos (3x – 7) cos(2x+ 7) lim cos(플-x)

A: Limits

Q: 1 1 7. lim X-0 (Arctanx)² x2

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

Q: 1. lim (1+ Vw)(2 – w² + 3w*) 12 – 1 - 1 2. lim t-1 12 + 4t + 3 3 2z - 2 3. lim 2+2 - 4

A: we have to evaluate the limits. (1) limw→1(1+w3)(2-w2+3w3)(2)  limt→-1t2-1t2+4t+3(3)…

Q: tan(xy) = ? lim .2. (х.у) >(0,1) х*у+x 1 1 (b) 1 (e) (d) - (а) 0 (e) 1 4 - |3

A:

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 Z X→-00

A: The given expression of limit is:…

Q: 2.r + x sin 3.x 1. lim * 5x - 2x +1

A: Here we find limit

Q: lim 15 13 15z2 Vr? + 8z lim %3D HY8 9-4x Vr? + 8z lim 9-4r /7

A: Given query is to find limit of the expression. Since first three has been filled correctly, solving…

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.) lim 2x sin'x. *P0 ex - x - 1

A: We apply l- hospital rules and solve it. Follow 2nd step.

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

A:

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

A:

Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: V+12-4 3 .lim X-2 tan3x 2. lim X-0 sinax 4). lim X00 x-7x+1 x-2

A:

Q: Question 1 Vx-2 x->4 x-16 i. lim ii. lim lx-5 1 x->2 x+x-25 iii) lim (Vx +x - x) X->00

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

Q: 1 х — 1 x +1 h 4 (a) Lim (b) Ļim h→0 V5h + 4 – = -2 x→0 2 5 t3 – 1 = 3. - (c) Lim t→1 t-1 || +

A: Reduce the equations by rationalization or by algebraic identities to put the limits and get the…

Q: h +2h (d) lim 3h -h' +5x+4 (e) lim x' +x-12 -3x +5x+4 lim 4x +x-12

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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 e* –1 lim- x→0 sin (2x)

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