b. lim f(x) InoT -1 a =0 c. lim f(x) x→a+ (x)9Jorl ImoT d. lim f(x) Meweren egbllo 1adamun ad T tu am losst of ebno ni mado of sonq ofT mn hton 4. If revenue, R, and cost, C, are given by R(x) = 50x - 0.5x2 and C (x) = 5x + 30, in dolars, find a) the number of units, x, that must be sold, in order to produce maximum profit, 50K-.5x2- [Sx+30] 882.50 b) the maximum profit. SONT.Sx-5X-30 50x--S* 30 45X-,5x2-30e Cara10jla d romn al ounavn Iato daitiv vol aultob nilo (e)aulav ah (o

Q: x, x 2. y=h(x) 4 3 y-2 Show that a. lim h(x) + 4 b. lim h(x) + 3 c. lim h(x) + 2 X-2

A: Given, h(x)=x3,  x<23,  x=2  2,   x>2 now show the limit on x→2…

Q: 2- Hospital C, (₁ lim + (1+4x) cot )(->0t cot x.

A:

Q: lim X

A: Solution :-

Q: 6. lim t+0o e3t + 4t

A: Given: limt→∞t2e3t+4t To determine: The value of the given limit.

Q: X-3 lim y→3+ Vx2¬-9 х2-9

A: Find the limit of limx→3+x-3x2-9

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

A:

Q: (1 cosr)dt 1. limx-0 2x -?

A:

Q: 1. Let g(x) = 3 %3D I-2 a. Compute lim, g(x); - L X- 2 b. Give equations of any horizontal and…

A: The objective of the question is determine the limit of the given function and find its asymptotes.

Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: Vу+4-2 lim y→0 y 1 O 2 1/4 O 1/2

A: Limit of a function at a point exists if both the left-handed and right-handed limits exist and are…

Q: flx) = Jx-7 Lim f(3+h)-f(3) ||

A:

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: f(x)=√x −7 lim h→0 f(6+h)−f(6)/h

A: Question is solved.

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: 2x lim x→9- 4-/25-x

A: This question is related to limits, we will solve it using given information.

Q: If lim f(x) = 8 and f(7) = 3, then lim (4f(2x + 1)) = %3D %3D x→7

A:

Q: lim¸ √x³ +8-3 x+1 7. Evaluate x→-1 8. Use a table of values to find an approximate value of limx→…

A:

Q: If 4æ – 11y = 5 is the tangent to f(x) f(x) - f(3) at a = 3, then lim | (A) =! (B) 규 (C) 4 (D) (E) 4…

A:

Q: [Select] A. f(x) = 3x² + 2 B. f(x) = 3x² +4 C. f(x) = 4x³ D. f(x) = 3x4 [Select] A. 6 B. 5 C. 3 D. 2…

A: topic- functions and limits

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: sint Lim t-0

A: We can evaluate limit of an expression by applying the limit point as a value for the variable in…

Q: 1. lim (2r + 5) 2. lim (10 3x) X12 3. lim(-x + 5xr 2) 4. im (x'-2r? + 4x + 8) 5. lim 8(t - 5)(t-7)…

A:

Q: x) = (V5x – 1, 2х, X = 1 x> 1

A: A function f(x)f(x) is said to be continuous at x=a if x→alimf(x)=f(a) A function is said to be…