If lim f(x) = 18 and lim g(x) = 23 then lim[2f(x)g(x) – 6 : x→6 x→6 O 36 822 O 834 828 174

Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

A:

Q: Given that lim f(x) = -1, lim g(x) = - 3, and lim h(x) = 4, find X 2 x2 lim [f(x) • h(x)] g(x) f(x)…

A: limx→2f(x)=-1, limx→2 g(x)=-3, limx→2 h(x)=4

Q: If lim f(x) = 11 and lim g(x) = 30 then lim[4f(x)g(x) – 5] = %3D O 1315

A: To solve limx→94f(x)g(x)-5, use the difference rule of limits, limx→ca(x)-b(x)=limx→ca(x)-limx→cb(x)…

Q: Given (x + 1, f(x) = {Vx + 3, 1 4 Tentukan: Determine. (a) lim f(x) x→1-° (b) lim f(x) x→1+' (c) lim…

A: To evaluate the given limits

Q: Given lim f(x) - 4 and lim g(x) = – 2, – 2, x→ 2 evaluate: x → 2 lim (g(x)ln( – 5f(x) – 3)) = | x →2

A: Definition used -

Q: Given lim f(z) = 5 and lim g(x) = 6, evaluate: %3D %3D lim (– 6f(z) + 6g(z)) = 66 z+7 lim (– 6+…

A:

Q: f(x+h)-f(x) In evaluating lim h-0 in f(x)= x² -1, which is the first step? h

A:

Q: Let f(x) = 2 4x - 23x-6 2 x + 13x - 114 (A) lim f(x) X-6 Find the indicated quantities, if they…

A:

Q: Find lim h(x), if it exists. X> 00 f(x) = 3x + 2x + 3 (a) f(x) h(x) = lim h(x) X> 00 f(x) (b) h(x)…

A:

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: If lim g(x) = 10 and lim h(x) = 28 then x5 x5 lim [2g(x)+ 5h(æ)] x5

A: Solution to the first question: Given,            limx→5g(x) = 10  and limx→5h(x) =28

Q: Given lim f(x) = 7 and lim g(x) 8, evaluate: %3D x8 x8 lim (7f(x) + 5g(x)) = %3D lim (7+ 5f(x)) = 7…

A:

Q: Let f(x) = 3x – 4 and g(x) = 8x² + 2x – 2. What is f(x) limx→-1 g(x) O a. -- Оа. O b. 7 4 1 Ос. 8

A:

Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: Find two functions f and g such that lim f(x) and lim g(x) do not exist, but lim [f(x) + g(x)] * 0…

A:

Q: If lim f(x) = 19 and lim g(x) = 23 then x5 x5 lim (3 f(x)9(x) – 5] = x5 O 38 O 1311 O 172 O 1306 O…

A: Given:       limx→5f(x)=19      limx→5g(x)=23   then  limx→53f(x)g(x)-5 is…

Q: Find the value of lim f(x) 1 f(x)3= 1+5/x -0.6 -0.5 0.16 01 E -0.6

A: To find out the correct answer.

Q: A = lim R, = lim [f(x1)Ax + f(x2)Ax+.+ n-00 x< 10. Using the above definition, determine whic

A:

Q: = 2 · and g(x) = √x² – 2x +1, then_lim [(ƒ(x) · g(x)] is z→1¹ If f(x) =

A:

Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.

A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx

Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

A:

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: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: If f(x) < x² for all æ E R and lim f(x) exists, then what can be concluded about lim f(x)? a. lim…

A: we have to find the following

Q: Suppose that g(x) s f(x) < h(x) for all x + 2 and suppose that lim g(x) = lim h(x) = -5. X-2 X-2 Can…

A: It is given that gx≤fx≤hx and limx→2gx=limx→2hx=-5.

Q: what is the lim f(x)9(x) if lim g(x) ln f(x) = +∞ x→a x→a

A:

Q: Given a function f:R → R with f(x) = x - 1, for x rational and f(x) = 5 - x, for x irrational Prove…

A:

Q: When the function f(x) satisfies f(1) =1,f'(1)= 3 obtain a value of lim/ (2)" -1 x→1 x² – 1

A:

Q: Given lim f(x) = 7 and lim g(z) = - 3, evaluate: %3D lim (2f(x) + 4g(æ)) : lim (2 + 4f(x)) =| %3D (…

A:

Q: Evaluate the limit given

A: we can move the limit inside the square

Q: Find the limits. f(x) = x + 4 g(x) = x² %3D (a) lim, f(x) %3D (b) lim g(x) * X--4 %3D (c) lim…

A: Given,            fx=x+4 , gx=x2

Q: Evaluate the limit given

A: Given:

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

A:

Q: 3. What is lim f(x)? lim f(x)? Why? 10+ 8. 6 4 2- -5 -4 -3 -2 -1 2 3 4 4. What is the limit of lim…

A:

Q: If lim g(x) = 13 and lim h(x) = 23 then %3D [39(x) + 6h(x)] lim x6 2 O 26 O 88.5 O 46 O 36 O 19

A: The limit of a function at a point exists if both left-handed and right-handed limit exist and are…

Q: Suppose limy-e- f(x) = I and limx-e- g(x) = m. Prove that limxe-(3f (x) + 4g(x)) = 31 + 4m.

A:

Q: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

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

Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

A:

Q: If lim f(x) = 14 and lim g(x) = 25 then lim [2f(x)g(x) – 6] = %3D O 28 O 706 O 700 O 694 O 178

A:

Q: 2. What is lim f(x)? lim f(x)? Why? X-0" X-0* Y 10 8. 6+ 4- 2- -10 -9 -8 -7 6 -5 -4 -3 -2 -1 4 1 2 3…

A:

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: 1. If f'(x) = and g'(x) = for all x , and if lim f(x) = lim g(x) = 0, %3D 1+x2 %3D x' 1+ 4. then lim…

A:

Q: Given that lim f(x) = 4 X-3 lim g(x) = -5 X-3 lim h(x) = 0, X-3

A:

Q: Find lim f(x). x2 - 16 if x>0 x+4 Let f(x) = x2 - 16 if x<0 X-4 O A. 4 О В. О Ос. -4 O D. Does not…

A:

Q: x2 + 8x + 12 Evaluate the limit: lim x→ - 6 x + 6

A:

Q: Evaluate the limit given

A:

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

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.