lim f(x) e. x-2+ f. lim f(x) X2 g. f(2) h. lim f(x) X4- i. lim f(x) X4+ j. lim f(x) x-4 k, f(4)

Q: lim x→-0.5- Vx + 1

A:

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: f(-4) =1 and f (0) =0 f '(x)-3 f '(x)> 0 if x0; ƒ "(x)>0 if x<0 lim f (x) =- and lim f(x)=0 lim…

A:

Q: f(x+h)-f(x) for f (x) = /5x – 2. Calculate limh- h f(a+h)-f(x) 1 limh→0 V5x-2 h f(x+h)-f(x) 5 limħ→0…

A:

Q: i. f(0) = 0, f"(x) 0, f"(x) > 0 for x < 0, lim f(x) = 1, lim f(x) X-00 -1,

A: Topic = Function As per guidelines, At a time only one question can be answered out of different…

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: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

A:

Q: lim x- Vx x-0

A:

Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule

A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.

Q: 6- (a) lim f(x) x--2 (e) f(x) lim x-3- (b) lim f(x) X-2+ (f) lim f(x) lim, f(x) X3+ (c)

A: According to our terms and conditions I have solved first 3 parts for remaining part repost

Q: 2 -2 2 4 lim_f(x) = 10. lim f(x) 9. x→-3 x→3 11. lim f(x) 12. f(-3) = - x→0 13. lim f(x) = x→4- 14.…

A:

Q: lim f (x) = DNE f(x) has a vertical asymptote at x=3 x-3

A:

Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

Q: Determine the following limits or state that they do not exist.

A: Given f(x)=x-4x(x+2)

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: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim…

A: Ghj

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

A:

Q: lim f(-2 + h) – f(-2) h-0 h where f(x) = -2x² + 2. If the limit does not exist enter DNE. Limit =

A:

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

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

A: let f(x) be a function, has the propertieslimx→1f(x)=∞ , limx→3-f(x)=0 , limx→3+f(x)=-∞

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: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

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: LIMITS lim f(x) X→a x² + 9 lim х-з х2 + 2х — 15

A:

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: -5(x + 8)%x +4) f(x) = (x – 5)(x – 8) 1. lim f(r) = 25- 2. lim f(x) = 3. lim f(x) = I8- 4. lim f(x)…

A: topic - limits

Q: Using: lim f(x) = 4 and lim g(æ) = 8, evaluate f(x) + g(x) 6f(x) lim Answer: Enter DNE if the limit…

A:

Q: 1 (b) lim [F(x) – g(x)] x-0 DNE (c) lim [f(x)g(x)] X--1 lim fx) x-3 g(x) 1 (d) (e) lim [x²F{x)] x-2…

A:

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: 1. x-3 lim f(x) lim f(x) x→7- 2. 3. lim f(x) Xー→2+ 4. lim f(x) X8- 5. lim f(x)

A: Given;           fx=5.7380.287x 1. Find: limx→3fx             =limx→35.7380.287x Plug in the value x…

Q: X. lim (3x – x -3 - 2) (2x² +4x+5) K. lim x+1 2x2+2x-4 Z. lim x-1 x-1 a. lim (+3) а. N. lim – (-16)

A: We will find the limits as shown below

Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

A:

Q: lim f (x) f(c) a) lim f(x) X--15 b) lim f(x) -0 c) limf(x) d) imf(x)

A: We are given a graph: On the basis of this we need to answer the following:

Q: lim f(x)=-o, lim f(x)=0 Tーー1 lim f(x) = 0, lim f(x)=-

A:

Q: Use the limit properties to find the following limit.

A: Given that, limx→3fx=3      ...(1)limx→3gx=2      ...(2)

Q: lim f(x)= c) f(1) = x-1* lim f(x)= lim f(x)= b) x3 x2-

A:

Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: lim (2a +x) X-

A: We find the limit by substitution

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: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

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: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x

A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…

Q: [3-x x 2 a) Find lim X-2+ f(x) and lim X-2 f(x) b)Dose lim f(x) X-2 exist ? why?

A: We use the definition of the existence of two sided limit to answer the question.

Q: f(4) = f(0) = f(-3) = lim,-2+ f(x) =, limx-2- f (x) = lim,-3+ f(x) = limy-3- f (x) = = limy-4 f(x) =…

A:

Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

A:

Q: 3. lim f(x) = -2, X-2 4. X-3 lim f(x) = +00, lim f(x) = 2 and f(2) = 0 lim f(x) X-3* %3D = -00

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.