2х— 12 17. lim х-6 х2 — 36

Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

A: Given the query is to find the limit of the expression.

Q: +h)4-44 Q 9 Compute limh-0 h

A: To find:

Q: 23 + 6x² – 32 1. lim 4 x3 + 5x² + 4x bw e 2. lim w>-00 4+ e 3w sin(6t) 3. lim 40 sin(11t)

A: Given that limit problem and we solve use L'hospital rule . If we apply limit and function is 0/0…

Q: 1 2. lim cOs X -

A: The given function rewrite as

Q: 1. x² tan( + 47) + 2 tan-1x lim =? (a) 1 (b) -2 (c) -1 (d) (e)

A:

Q: sin 2t lim t- 2t

A: To find:limt→ 0sin2t2t

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: 26. lim h→0 27. lim t-0 29. 28. lim t-0 Answer √1+t-√1-t t ·2+h)² +2-¹ h (17-0²-²1) t + t 4-√√ lim…

A: Fiest simplify then apply limit

Q: z? +1 lim z4-1 %3D i O -i o

A:

Q: Finding Limits #23 please

A: Given information:

Q:

A:

Q: z²+3 lim- %3D iz Z-2 7i0 7 14 O

A: Given that limz→2 z2+3iz  We need to find the limit of the given question. The solution to the given…

Q: 2 In cosy y4 1 [1] limy-0

A: After simplifying the function the form is 0 by 0. So, apply L'Hopital's rule to find the limit.

Q: 1) limy-o 2ytan(1/y) sin(r-0²) 2) lim2n 101-Va 2 3) limg-n/2 (n²-482 )sec\ß] tan2x 4) lim T

A:

Q: n+1 Evaluate lim cos“(x²)dx n→∞ (and show all work)

A: The required results are as follows: cos2 x=12+12·cos(2x) and cos 2x=1-(2x)22!+(2x)44!-(2x)66!+...…

Q: 8. lim,0 1-cos x 2x2 1 (a) 1 (b) – (c) 0 (d) ; (e) 1. -

A:

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 7 X--00

A:

Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: Limits at infinity Evaluate the following limits or state thatthey do not exist.

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

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: 3 lim- h→0 /3h +1 +1

A:

Q: x² – 9 16. lim x - - 3- x +3 (4 + h)² – 16 18. lim h→0 sin²x 20. lim htan³x 4

A:

Q: 12:28 AM Fri Oct 23 77% T +: 0 the formul a, = lim f Cath) - fla) an m tan +o find 3 equation for…

A:

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: 5(t - )cos3t) 3 252 + 18

A:

Q: lim,0 e2x _e-2x 'x→∞ e2x+e-2x

A:

Q: 1. lim Vx? – 4 x→2+ – 4 2. lim /x(5 — х) x-5 4x 3. lim x-4+Vx-4 E.2

A: We have to find

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: 4. lim-0 A. B. 1 C. sin D. Does not exist E. -1

A: We need to find limit.

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: B. lim, 0+(1 + 2r)In(2=)

A: Given: limx→0+1+2xln2x   As we know from the limit rule; If the limit is limx→afxgx and it result of…

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: 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: 2 cos (n²+ 3n – 7) - b, Find lim b, V3n² – 4 -

A:

Q: 16+y limy-o

A: The given function is 16+yy-4y. Simplify the given function as follows.…

Q: 3* – 1 Evaluate lim Show the steps in your solution. t→0+ 6 sin t

A:

Q: 1) Calculate: lim E-1(5+ 3i) (÷) showing all work. i=1

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 3 a. lim うルーフ4 4- 1し 5- J3c+9 2-Jつい 5. しim うしー72 ル+2-Vt4んt4 C. Lim 2021+リ-26 ルーフ 20t ーて

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Q: sin2z+721任22 4. lim よー2 z (2十1)

A:

Q: 4. 21. lim 2+ Vx

A:

Q: 5 15 lim z00 10 x13+26 x15 Number Show your work and explain, in your own words, how you arrived at…

A: L=limx→∞(5x1510x13+26x15)dividing N and D by…

Q: lim,-9+76i (z² + 18z) = x + iy,

A: The solution is given as

Q: 4. lim, ) = A. 0 B. I C. 2 D. co (3x2. 5. lim,o ()- A. 0 B. 3 CD. co 2x2 2x2+10x-80 6. lim,-00 A.…

A:

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

A:

Q: 3z+ 4y lim (2,0) +(0,0) 2z - 5y OA- OB OCo O D. Does not exist

A: Explained below

Q: ー4 1. lim もラー2 t+t+ 1 to

A: limt→-2t2-4t2+5t+1 Plug x =-2 in it (-2)2-4(-2)2+5(-2)+1 Simplifying we get 0/5 = 0

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: 1 (iii) lim I-bt 6 – x

A:

Q: 3 lim h→0 3h + + 1

A: Here we have to evaluate limh→033h+1+1