7x3 – 4x + 2x6 lim с. 5x3 — Зх2 x--00 7x3 - 4x + 2x6 lim d. 5x9 — Зх2 x00 7x3 - 4x + 2x lim 5x3 — Зх2 | е. x00 -

Q: Find the limits

A: We will find the limit by substitution

Q: Limx-->9 = X -9/ (X)1/2 -3

A: We will first cancel out the irrational factor at the denominator. And then we will check if the…

Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

A:

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: 5-Lim メー>0 2x+3x=7

A: The given limit is limx→∞x2-22x3+3x2-7.

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: x®+7x6+9x5-4x²+2 lim x--00 x6-4x5-3x2-6x+4

A:

Q: lim (8x3 - 4x² + 4) X--1

A: Given,            limx→-1 8x3 - 4x2 + 4

Q: x2+4-2 -6x*+x2+1 (2) limx-0 (3) limx-0 x2 2x4-x

A: we have to find the limit of the following

Q: С. 6x° – 12x +13x³ - 5x +7 1. lim 14x7 -13x +1 1x³ + 4x? – 6 15x8 – 13x +9x6 – 5x³ + 4 - 2. lim 13x°…

A: 1.  Given: To evaluate the given infinite limitslimx→∞ 6x8-12x5+13x3-5x+714x7-13x4+11x3+4x2-6=limx→∞…

Q: 2 х* —4х lim x→4 x² – 3x -4 — Зх

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

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

A:

Q: x2 - 5x limx¬0 х3 +х-2

A: Given: limx→∞x2−5xx3+x−2

Q: -4x* +2х — 7 3 lim 8x* +5х - 3 |

A: Given. f(x) = (-4x³+2x-7)/(8x³+5x-3) Puting x = infinity we get Y = infinity/infinity which is…

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

A:

Q: -10x lim x0o 12 + 2x 2x – 6 lim x-0 x3 + 2x – 11 x2 – 14x – 6 lim 7 – 9x2 - x² + 8x lim 9x Vx2 + 8x…

A:

Q: 4x - 3z2 - 8æ 423 1. lim 2-00 4 - 8r – 3x3 3a?-8x 4x - 3z2-8a 423 2. lim I-00 4 - 8x – 3r3

A:

Q: lim as x--> 0 of (1-2x)^1/x

A:

Q: 7. lim z+5* 15 3r 2- 2z-3 lim 73 22-8r+ 15

A: Find the limit

Q: 2x2 – 12x 1. lim 1-6 r2 +x - 42 3- V25- 2 2. lim 1--4 r+4 3. lim

A:

Q: Compute limx→∞ √ 2x^2+3x−1 / 7x+1

A: Divide the numerator and denominator by x…

Q: (a) 5x-3 – 4 (i) Lim: X--0 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

A:

Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

A:

Q: lim x---4, x - 4/x2 - 8x + 16

A: limx→4x-4x2-8x+16

Q: Зx2-х-64 17.lim х-4 х2-х-12 10х2-7 18. lim х-о Зx2-х-12 х3-81 19. lim х-0о Зx2+4x+2

A: We will solve the problem.  L.Hospital Rule will be used in the problem.

Q: 22 – 4z + 4 Find limz→2 z2 – 4

A: limz→2z2-4z+4z2-4     =limz→2(z-2)2(z+2)(z-2)      =limz→2(z-2)(z+2       =2-22+2        =04…

Q: |2x+4| lim x->-2+ √x+2

A:

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

A:

Q: x2 - 6x + 8 lim x--2+ x3 - 4x

A:

Q: V2x+22-4 limx---3 x+3

A:

Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

Q: x2-3x-4 3. lim x---1 x+1 1- -5 2- zero 2- 4- -3

A:

Q: 5x?-4х 4. lim- x+0 2x2+3 5. limVx6 + 5х3 — х3 3 2+3x-5x2 6. lim 1+8x2

A: This question is related to limit.solved in step 2.

Q: x² + 8x – 9 4. lim 1 x3 – 2x2 – 5x + 6 t3 – 7t2 + 16t – 12 5. lim t→2 t4 – 4t3 + 4t² w? – 4w + 1 6.…

A:

Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х — 3)2 (ii) Lim x-00 x2 7- 2x – 3 2

A:

Q: x2 + 5x + 6 14) lim X--00 X х3.7x2 + 17

A:

Q: (а) 5x-3 – 4 (i) Lim X00 2x-2 + 9 (х - 3)2 (ii) Lim- X0 x2 7- 2x - 3

A: Here, solving only two subparts of Question number 4 and for the remaining post the question again.…

Q: Vx2-3-2. 7. lim x2 +1 х->-1 Зх -V6 — х 8. lim х->-1 4 + x2

A: (7) We have to evaluate the following limits -  limx→-1x2-3-2x2+1Applying limits i.e. put x = -1 we…

Q: lim as x goes to -3 of (4(2x+1)^2-100)/x+3

A:

Q: x²+6x+9 4. lim X--3 x+3

A:

Q: lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 /  (…

A:

Q: )-() lim 2z- 1422–1|

A: We have to solve

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: a) lim, 2x-I- 3 222 | -1 312 + 5z + 2 7x +10 b) lim,5 7?-10z + 25

A: We have to find the limit of function.

Q: Find the limits

A:

Q: (i) Limx→∞ 5x−3 − 4 / 2x−2 + 9 (ii) Limx→∞ (x − 3)2 / x2/2 − 2x − 3

A: We have to solve given problems:

Q: Lim x--->2 x^2+5x+6/x+2

A:

Q: x2+6x+9 4. lim x--3 x+3

A:

Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -> -4 ^ - and  F(-4)

A: The given piecewise function is,