(a) lim n-0 2 – ni x² – 4 (b) lim x + 4 x² – 4 (c) lim x – 2

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: 3. What is lim f(x)? lim f(x)? Why? X-0* X-0 10 8 6 2 -5 -4 -3 -2 -1 3 4 5 2.

A: Given graph is,

Q: x² - 9 lim x-3 x-3

A: As per the guidelines we can not proved the hand written solution. limx→3x2-9x-3 factorize the…

Q: 4-x V6-5x+x f(x) = 1- find the domain 2- find lim f(x), lim f(x), lim f(x) x2 x-2 x-+2

A: givenf(x)=4-x2x2-5x+6solving x2-5x+6 by factorization method=x2-2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)and…

Q: _15. What is lim f(x)? X-4 A. 0 В.1 С.2 D. Does Not Exist

A: Given: Following graph is given. To Find: 15. limx→4fx=?

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

A:

Q: lim x approaches -3  x + 3 /[x2 + 4x + 3]

A: Given: limx→-3x+3x2+4x+3 Apply the limits. limx→-3x+3x2+4x+3=-3+3-32+4(-3)+3=09-12+3=00 As, it…

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

A:

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

A:

Q: x²-1 7. lim x→4 V4x 1 1 8. lim 3 x-3 x-3

A:

Q: r - 1 lim 11 x" - 1 where n2 2 is an integer,

A:

Q: .2 x # 2 6. Let f(x) ={x+2 (k x = 2 Find the value of k so thatf(-2) = lim ƒ (x). %3|

A:

Q: lim d. x → 2 Vx²-4x+4 lim 4-V21-x C. x → 5 х-2 x-5

A: Given that: c. limx→54-21-xx-5d. limx→2x2-4x+4x-2

Q: x²-4 (b) lim 4-2 X+2

A: We have to evaluate the limit: blimx→-2x2-4x+2 After putting limit value we get that it is in the…

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: Vx-2 11. lim- x→4 4-x 1 12. lim 1 3 13. lim x-→2-x-2 x² –4 x-1 14. lim |2x – x² –1

A: According to bartleby rule I answered first 4 questions

Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

A:

Q: Find each limit.

A:

Q: 9. 1 2- 1 lim X-1 1 x2 - x2 - 2x + 1 3x + 2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: X 2 +2 x-2 3. Find lim 4. Prove that lim(2x² +1)=3

A: Dear student,                       According to our guidelines we are supposed to answer only first…

Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

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

Q: Choose the best answer for limit.

A: If we have a function f(x) and we want to find the limit of the function at x = a, that limx→a f(x).…

Q: 1. 2. 3. () ) lim lim 2 tan lim (x²–16) x+2 - x →4 4-x х -3 х-2

A: Note : According to our answering guidelines we have to solve only 3 sub parts (if multiple subparts…

Q: 2 lim キx°- キx - しx* -I 3 x メ→ o -\x3+ キメ - 12

A:

Q: 4 x + x – 10 Given the function g(x)= 13 x2 – 4 (a) Give all values of x which are NOT in the domain…

A:

Q: Зx2 +2х-5 1. lim x-1 х-1

A:

Q: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

A:

Q: 1 1 4.3) lim x² –1 2х-2 x→1

A:

Q: +64 1. lim (3x-x² + 2) = 6. lim X-3 X-4 4x+16A 2x2-x-3 x+1 2. lim 7. lim X-1 х+1

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

Q: x3 - 1 (x + 1)2 Let f (x) = Find lim f(x)? | x² - 5x + 4 x² + 1 X-1

A:

Q: 8 lim x-2+ x²-4 x→2+ X x-21

A:

Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

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: 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: 2+x a) lim x-22+x²

A:

Q: х2+2х-3 lim X→-1 х2-1

A:

Q: x-207 Find lim x-207 Vx+ 18 - 15

A: when x tends to 207 its 0/0 form so rationalizing the given question to eliminate 0/0 form

Q: lim f (x), where f (x)={18-7x for x<9                                    ={x2-3x for 9 less than or…

A: Explanation is given below..

Q: x2+4 lim x-1-x3-1 x+4 lim X-4+ x-4

A:

Q: 51. lim (x- 2) *2-4 X+2+ lim r1/(x-1)

A:

Q: X - 4 (a) lim x→4 x´ -x-12 x² - 27 (b) lim .3 x² -9 (x+h)° – x² (c) lim h→0 h ||

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: x²-1 Solve for the lim x00 " x2+3x-4

A: To find the given limit

Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)…

A: Given problem:-

Q: x-2 Evaluate: lim Vx-1 - 1 X-2

A: Givrn limit, limx→2x-2x-1-1 is in 00 indeterminate form

Q: 3/25-x² Lim X-4 X+4 t.

A: