Find the requested composition functions.  given f(x)=4x^2+3x+6 and g(x)=3x-4, find (gof)(x)

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

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Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: 4 ex lim X 4 + 3e*

A: Given,              limx→∞4-ex4+3ex

Q: 2x" + lim 6/x ·1 - 1 X→0 8x - 7x 4

A: We have to solve

Q: limx-->0 sin3x/ex-1

A:

Q: Find the partial derivative. 3 (x² +3x-3y) 2.

A: Given  z = x2+3x-3y4 We have to find ∂z∂x.

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2x lim x→0 x2 + 4x

A: Given function is; F(x)= 2x/(x^2+4x)         = 2x/((x)(x+4))         = (2)/(x+4)

Q: lim V 5x + 40 X--8-

A: Given          limx→-8-5x+40

Q: lim(1 + 3x)²/x x→0

A: Concept if limx→0f(x) = 1    and limx→∞g(x) = ∞ then the limx→0f(x)g(x)  = elimx→0[f(x) -1][g(x)]…

Q: Зx + 1 lim 3 1 – 8x3 -

A: We have to find the limit: limx→∞3x+11-8x33

Q: Find: tanx-sinx d) lim x3 4.

A:

Q: Find vertical and horizontal asymptote of F (x)=Ln(4-x^2)

A: To Determine: Find vertical and horizontal asymptote of:…

Q: 2 х* —4х lim x→4 x² – 3x -4 — Зх

A: Here we use the L.hopitital rule to evaluate the limit.

Q: 6x-sin 2x 2x+3sin 4x 15. lim

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: tan(3x) lim x→0 2x2 + 4x

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Q: 5x - lim X-00 Vx2+4

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Q: L'Hospital limx->0 (5sinx/62x)1/x

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Q: X – 1 limx → 1 V 4x – 2/x -

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Q: lim V8+X -2

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Q: 4 - VE lim x>16 16x – x?

A: Given: limx→164-x16x-x2

Q: VZx+10+ V-5x+10 lim 8. →ー1 十1 - 2x3+ 3x-5x+1 lim 9. *-2 +4

A: It is given that     limx→-12x+103+x2-5x+10x2+1 We have to evaluate it.

Q: x²-7x+10 1. limx-2 x-2

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate the limit.

A: Given: limx→-∞4x-325x2+4x for finding this limit we take x2 common from denominator and x from…

Q: 4 – x lim X → 4 5- Vx² +9

A: We have to find the limit

Q: Find lim Sin (X+2) X->2 x4x-2

A: Explained below

Q: : limx->0(1/x3)

A: We have to simplify the given expression. The given expression is limx→01x3∫0xt2t4+1dt

Q: x-2 lim 3x+5+2x' +2*

A:

Q: 1- x - x2 lim 2x – 3 x--00

A:

Q: limx→1 10x−9x−10(x2−1)

A: Given,             limx→110x-9x-10x2-1

Q: Solve for the lim[e* + x]%. x00

A: Given,           limx→∞ex+x1x

Q: VZx-V6-2 lim 4-

A: We’ll answer the 4th question since we answer only one question at a time. Please submit a new…

Q: lim エ→4 - V8 -x

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Q: tan 2x lim 4.x4

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Q: Vx2-7x+16-V6 2. lim X→5 (х-5)/x+1

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: 2x2-V2(3x+1)+2 4. limx-1 X-1

A: Here we have to find the limit of  A=limx→1 2x2-2(3x+1)+2x-1

Q: x°+4 lim 4 x+ 0x"+5 ||

A:

Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: 2.x 2x + 4 lim X→+00 2x + 5 ||

A: Given:    limx→+∞ 2x+4 2x+52x

Q: 2-limyo(x.secx.cscx)

A:

Q: x-3x-2 limx--1 х+1 ||

A:

Q: 1x+21 Ex.2: lim ダー→ -2 (x+3) x+2

A: limx→-2-(x+3)|x+2|x+2

Q: -Sx-2x+4 d. lim x-9x+1 e. lim xo 3x2-2x-15 x249 f. lim 0 2x+2x2-3

A: Limit   If a constant number is decided by infinity then it will tend to zero .

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: -2x +x lim x->0 2x+x“ – 2x .3

A: We have to evaluate the limit                                            limx→0x3-2x2+x2x3+x2-2x

Q: Find the limits

A:

Q: 1. lim(2x + 4) x-3

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any…

Q: Lim √2+x² X

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.