3p(x) If p(x)%3х2+2х-З and q(x) -x3- 1, then lim- x+1 q(x)

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: 2x*-3x+2x2-x+1 lim -6x-x2+x+2 1 3 O O

A:

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

A:

Q: x² -9 lim- x+3 x* - 4x +3 x→3

A: if the function is of 00 or ∞∞ form then we apply L.Hospital rulelimx→af(x)g(x) = limx→af'(x)g'(x)…

Q: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

Q: 9x +1 lim x - 1 V1+x-1 lim x-0 lim 2x2 + 3x lim x05x2 - 2x Dr ohammed Jas

A:

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: (а) 5x-3 – 4 (i) Lim X0 2x-2 +9 (х - 3)2 (ii) Lim- X0 X2 7- 2x – 3

A: We must know that 1∞=0 And here the  limits are (i)  -49     and (ii) 2

Q: 4 x*-81 Find lim- x+3 2x²-5x-3

A: First of all we will factorise the numerator and denominator separately and then cancel out the…

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

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

Q: 5x"+x lim メ→ -0 -8

A: To evaluate: limx→-∞5x4+xx2-8

Q: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 + 9 | (х — 3)2 (ii) Lim X00 x2 T- 2x – 3

A: Note: According to Bartleby guidelines; For more than one question asked; only the first one is to…

Q: 9. lim -2x-15 (3r-2)-(x+2) 10. lim -5 x-5 x-2

A: The limit of a function (expression ) is a value of that function (expression ) that approaches as…

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: x² + 2x – 8 - (g) limx→2 -2 X- Vx² + 5 – (x + 1)

A:

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: 12. lim(-x + 5x – 2) 14. lim (x – 2x² + 4x + 8) - X→-2 16. lim (8 – 3s)(2s – 1) s2/3 -

A:

Q: |x lim х-5 х-

A: We will find the limit.

Q: 8) lim- x+1 2x²+2x+1

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: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

A:

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: 10 a. lim -3-2 2x+1 b. lim 2 x-3

A:

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

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

A:

Q: 4ー npaメ lim メ-2

A:

Q: hg limits exactly. x3+3x2-11x-68 lim x2-7x+12 X4

A:

Q: 4x lim *-3 2- V2х + 3

A:

Q: (-1)*k² 3k 3x+4x +5 lim a x + 6x +7 lim 12 00 k=1

A: Given, limn→∞∑k=1n(-1)kk23k=limx→∞3x3+4x+5a5x3+6x+7

Q: x-2x x (水) 3t-4 t- lim 4-t

A:

Q: x² -x² - 5x – 2 (x +1)² M + x- 1 • lim メー-1 X • lim

A:

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

A:

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

A:

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: х — 1 lim х-1+ V2x-x2 1/

A:

Q: 5x b) lim lim-0 2ln(x+1) ex-e-x c) lim lim-0 2x x2-2x-3 d) lim lim-3 x-5x+6

A:

Q: if f(2) = 4 f(2) =1 Then xf (2)– 2f(x). lim х - 2 X2

A:

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

A:

Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

A:

Q: 25+x-5 4-limx-0

A:

Q: 2x a. lim x-+3" X - 3

A: limit

Q: -2x +x lim x->0 2x+x“ – 2x .3

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

Q: x² - 1 1. lim- x→1 x2 +3x - 4

A: NOTE*** As per bartleby guidelines for more than one question asked only first is to be answered…

Q: Find: x3-x2+x-1 a) lim x-1 x+lnx-1

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,

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.