(a) lim A(x) (b) lim A(x) x→-3 x→2- (c) lim A(x) x2+ (d) lim A(x) x→-1 (e) The equations of the vertical asymptotes -3 0. 2

Q: 2 -8 21. lim X3 3-x e2x-4 – 1 23. lim x+2 x2-4 25. lim X00 x2 +1 2.

A:

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: x2 - 4x- 21 lim X-7 X-7 x² - 4x-21 lim (Type an integer or a simplified frac- %3D x- 7 X-7

A:

Q: lim 28 ー→2+2 GE) lin イ-2--2 ス-2 G月lim X2-x-G 33 -3

A:

Q: Find the limits in Exercise

A: (a) Given that, limx→-2+x2-12x+4

Q: 7. lim -3 x-9 x-9 (1+h)²-1² 8. lim h-0 h Final Answer: Final Answer: 9. lim -2r-15 (Зх-2)2- (х+2)2…

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

Q: Lim    4 - x2      x →2   x + 3 (b). Lim   4 - x2      x →2   x - 2 (c). Lim   1 + 8x + 6x3      x…

A:

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

A:

Q: lim x->0 ((x+k)2 -x2/k)

A:

Q: Sketch the graph of a function with the given limits:

A: Given: limx→1fx=∞……1limx→3-fx=0……2limx→3+fx=-∞……3

Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

Q: need help figuring out completely

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

Q: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

A:

Q: Find the limits

A: Given: limx→1x-1-1x-1 for finding this limit we simplify given thing and find limit

Q: x'- 16 • lim x2 X-2 x'- x- 5x - 2 • lim (x +1) Xー1 M + x - 1 • lim

A: Here, we need to find the limit of the given expressions. (i)            limx→ 2x4-16x-2=limx→…

Q: 21/x – 2-1/x 21/x +2-1/x 78. GU The function f(x) = is defined for x #0. (a) Investigate lim f(x)…

A: The given function is fx=21x-2-1x21x+2-1x. Compute the limit as follows.…

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

A:

Q: 13. lim -0 15. lim √x+4-2 x-1 x-1

A:

Q: lim - 4 Evaluate x → 2 x + 2 V3x - 2

A:

Q: 2. lim 2. lim f(x) = 1 and f(0) = -3 1. lim f(x) = -1 and f(1)DNE x-1

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: Sketch the graph of a function with the given limits.

A: Given that,

Q: 3x2 (x- 1) .2, (а) lim I00 5x(2x2 +1) 2 - x3 (b) lim 1o x2 - 2x + 5 | x - 2 (c) lim x→-0 x4 –2x³ +1

A: As per Bartleby guidelines rule I am answering only first three questions. Evaluate:…

Q: Calculate the following limits using the factorization formula

A: Given: The expression of limit as limx→2x5-32x-2, To determine: The value of given limit using…

Q: x-2 j) lim -3x+2 3x+2x lim 0 x+4x k) x2 -3x+2 lim 2 x - 2x I) lim -x 1-x im m)

A: We will find the value of Given limit.

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

A:

Q: 9- 9 – x+ z* lim (1) *→2 x-2 x +x-6 lim . X00 (2) x-2

A:

Q: x - 3 lim I-3 x - 9 x? – 2x – 8 lim x – 4 x³ – 2x? + 1 lim x³ - 1

A:

Q: 1. Find a) lim x+3 3-x b) lim x3* 3 - x c) lim- +3 3-x d) the vertical asymptote of f(x)= 3-x

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: x -9 a) lim 3 x-3 Vx - 3 b) lim x-3

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: lim                     (1 + 2x)1/2lnx x -> infinity

A: In the question we have to find the answer of the limit.

Q: (a) lim f(x) x--7 (b) lim f(x) x--3 (c) lim f(x) (d) lim f(x) x- 6 (e) lim f(x) x - 6+ (f) The…

A:

Q: lim x1/(1-x) x -> 1+

A: lim        x1/(1-x) x -> 1+

Q: 1. lim g(x) = X--1- ; lim g(x) ; lim g(x) %3D r-1+ X--1 3 2. g(-1) = 2- 1. lim g(x) = ; lim g(x) =…

A:

Q: lim x->0 ((x3-x2)/(3x2+x))

A: Answer and explanation is given below

Q: Evaluate

A: alimx→3−1x−3L.H.L x→3− means x approaching 3 from left ,x<3⇒x-3<0⇒limx→3−1x−3=1−0=−∞Or we can…

Q: • lim f(x) = 2; • f(-1) = 4; : 1; • lim f(x) = 1; • lim f(x) = 0; f(x) has a vertical asymptote at x…

A:

Q: lim (2a +x) X-

A: We find the limit by substitution

Q: lim x^1/6-1/x^1/3-1 x->1

A:

Q: lim (a) x- 3 s(4) = 0 2- (b) lim 1() - 0 -2- (c) lim s() -0 %3D 4- x - 3

A:

Q: lim a. (2-4x*) x² -3 b. lim X→0+ x° +x²

A: Solution

Q: X - 2 2. Evaluate lim using methods from this class. I-2 - to

A: The limits are one of the most significant tools of analyze any given function at a given point. To…

Q: V6-x-2) 1. Find lim 『→2 v3-xー1

A: According to our guidelines we can solve only the first question. Please repost the other questions…

Q: lim of x approaching infinity of (e^x-3x)^2 / e^2x+ln(x^2) The (e^x-3x)^2 is on the top of the…

A: The given function is: f(x)=ex-3x2e2x+lnx2

Q: 1. Find a) lim x3 3-x b) lim x+3* 3-x c) lim- x+33-x d) the vertical asymptote of f(x) =- 3-x

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

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: x - 2 lim find lim 9 (x) + a. Let g (x) = t. 9 (x). lim find lim h (x)- 17 + 2x Let h (x) = b. x -…

A: a) gx=x2+x-2x2-xb) hx=17+2xx2-2x+1

Q: lim х+1 х-1 x3 -x lim X-0 X х2+x-12 lim (→3 x² -9 2.

A: Topic = Limits As per guidelines , At  a time only three sub-parts can be answered . please repost…

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits

Q: lim(-x² + x-2) x-2 x+5x+4 lim x+2 2 +7x +6 lim I+3

A:

Q: 6. lim f(x) = +∞, lim f(x) = 0 and f(-1) = -1 %3D x-1- x-1+

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.