x2 -6 for x < 2 (x)3D 3 for %3D x = 2 2х - 6 for 2 < x < 7

Q: х — 3 lim Nx- 3 x→3

A: the given limit is: limx→3x-3x-3 we have to find the value of the given limit.

Q: x* — х — 6 lim x→2 х+2

A: To find: limx→2x2-x-6x+2 limx→2x2-x-6x+2=22-2-62+2                          =-44…

Q: x - 2 2. lim x2 r2 - 4 %3D

A:

Q: 5. f(x) = 2cos (2 + x³) 6. f(x) = x²ln x 7. f(x) = 33x

A:

Q: lim X-X- 6 3 2r - x - 15 Score

A: The given limit is limx→3x2-x-62x2-x-15.

Q: Find the limit

A:

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

Q: e3x – 8 lim n- x-In2 e2x - 4

A:

Q: If p(x) is the total value of the production when there are x workers in a plant, then the average…

A:

Q: e3x – 8 lim n- r-In2" e2x - 4

A:

Q: x+ 4 5) lim x+ -2 x' + 7x + 2x - 40

A: Apologies. We only answer one question at a time. We will answer question 5 as the exact one wasn't…

Q: x -> 0

A:

Q: Зх — 4 f(x) = Зх — 6 f(x) = x2 – 9

A: (i) As f(x) is a fraction, it is undefined when the denominator becomes 0.  Equating the denominator…

Q: 4-x 10. f(x)=- x+1

A:

Q: 26) lim √√x-3 x-9 x-9 A) -10 B) 1 6 C) -2 D) 5 16

A: we have to find limit.

Q: 4. f(x)2-と x+ x2-2 5. f(x): Xー

A: Given: Notice that the first function is not defined at x=-2 and the second function is not defined…

Q: lim (2f(x) + 3g(x)) = x--3

A: Given

Q: 7. F(x) = (х - 2) 8. F(x) = (2x– 7) (x+4)

A: Find the first derivative of 7. Fx=xx-28.Fx=2x-7x+4

Q: 4x - x2 5. lim X+4 2- Vx x² + 12 – 4 6. lim x- 2 Final Final Answer. Answer:

A: Given

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: 4 f(x) = 4 – x + ,3 x* 3

A: Critical values are attained at the points where f'(x) = 0, i.e., the derivative has the value 0.

Q: Lim 7X + X メー3 メ > 3

A:

Q: ® Lim V3X mm 3 X-→3 X ¢3 X- 3

A:

Q: f (x) = - x + 43x - 5 %3D as x → -00 f (x) →-0 as x -∞f(x) -8 | as x +oof(x) → -8∞ as x → +of (x) →…

A:

Q: Find the limit

A:

Q: The Valne of x For V50+7x <x+8.

A:

Q: 7. lim (x +3) *+2| x--2- x+2 (a) -1 (b) (c) 1 (d) 8

A:

Q: 4 y = f(x) 5-4 3 -2 -1 -1+ -2 5, 3. 2.

A: according to given figure limx→4fx=4f-3=-2f'4=0 here, given function is not continuous at x=-3  so,…

Q: Find the number of units x that produces a maximum revenue R. R = 78x2 − 0.04x3   x=           units

A:

Q: lim (x²+2x-3) x-4

A: Solution Givenlimx→4(x2+2x-3)we need to find the limit approach

Q: lim 5r' - 40 x→2 x - 4 А. D. 12 В. 8 E. 15 С. 10 4,

A: Since it 0/0 form. Using L' hospital rule,

Q: 3 (c) lim 6.x x-3 r2 – 9

A:

Q: Drawthegraphofy = -e(x- 2).

A: Given- y=-ex-2 To draw- The graph of the above expression.

Q: lim e5x — 2e-2х + е-3х + 2е-5х —5е-10х n→0∞ 2х-4

A: Topic:- limits

Q: 5. The profit function from the sale of x skateboards is given by P(x) = 30x – 0.3x² – 250 0<x< 100…

A:

Q: |x| for x 2 10. g(x) = %3D

A:

Q: Lim 4x + 5 X-0 5x2 + 3x b.

A: Given

Q: Sx² + 6,x < 2 lim x-2+ (6x + 1 ,2 < x g) |x-2| lim x→2- x-2

A: By using limit property and modules property

Q: Lim Nx-2 X→2_×<ー4

A: Solution-

Q: 2x-3 for x - 5 +メ find all the values of which dis continuous ヒ=2

A:

Q: 2. f(x) = -치 | x+3| 4. %3D

A: Given query is to discribe the transformation.

Q: 5) f(x) = 7 - e-X 6) y = 5xeX - 5eX

A: our objective is to find the derivative given in question 5 and 6.

Q: 3. f(x)=5x-3 g(x)=(x-1)2 %3D

A: Here, the given functions are: f(x)=5x-3, g(x)=(x-1)2 To find g(f(3)).

Q: x < -5 V25 – x² if -5<x < 5 5 < x x + 3 if (e) g(x) = %3D 3 – x if

A: Graph each g(x) under the given inequality for x Make a table for each g(x) For first function ,…

Q: lim 4x45 X-D5 X+5

A: Given, limx→5 4x+5x+5

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 2 lim + 8 00 - x x + 5x + 7 * 2.

A:

Q: 3) lim (x- 3x + 4) 4) lim -V2x-2 A) -5 C) 0 B) 2 D) 7 A) V12 C) 2 B) -7 D) -6

A: 3.

Q: C. lim (4x xx-√16x² + 3x - 5) X→∞

A: Given limits, (c) limx→∞4x-16x2+3x-5 (d) limx→03x-7x2x-15x We have to find the Limit of the given…