In 20-30 word explain the importance of limits by providing 3 applications of limits in real-life situation.

Q: (5x - 4)² 1) Let f(x) (9x + 16)² The limit as x approaches infinity is

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: FIND THE LIMIT OF THE GIVEN FUNCTION fim (xtra)- x-70 メ 2) lim X-74 x+5 X-4

A: L-Hopital's rule states that if limx→af(x)g(x) = 00 form limx→af(x)g(x) = limx→af'(x)g'(x)   1)…

Q: why do you think the limit of a constant is still the constant ?

A: See attached file for a step by step explanation.

Q: Determine the following limits: (a) 42³-19z²+12z lim x 0 7x³-23x2-20x Number (b) 423-192²+12x lim x…

A:

Q: State the theorem for Limits Preserve Inequalities.

A: We have to state the theorem for limits preserve inequalities .

Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: 8. What are the domain and range a. Domain = {x € R|x>7} Range = {y = R} b. Domain= {x = R} Range =…

A:

Q: B. Factoring method 1. Lim x-3/x2-18x+45; x= 3 2. Lim x2-64/x+8 ;x= -8 3. Lim x2+8x+16 ;x-1

A: There is the solution.........

Q: How can we Find One-Sided Limits Algebraically?

A:

Q: I+ 3r2 lim z+00 4x –1

A: To determine :  The limits of  (a) limx→∞x+3x24x-1   (b)  limx→-∞1+4x62-x3

Q: 3. Graph the following function. y=2(x+6)(x-1)²(x-7) A) Describe the end behavior using limit…

A:

Q: у3-у2-у-2 10. lim у-2 2у3-5у2+5у-6

A: Given: L=limy→2y3-y2-y-22y3-5y2+5y-6 For evaluating given limit, we use L hospital's rule According…

Q: 4. Please do not take too much time answering.     PLEASE DO NOT!! USE AI OR CHAT GPT!!! Answer in a…

A: The graph of the function Before you can graph the function, you need to compute first the value of…

Q: True or false: A function may have more than one absolute maximum value.

A: We have to check given statement is true or false.

Q: the maximum value isn't correct

A: There is mistake in sign while calculating maximum value of function.  I have corrected it .

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

A: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

Q: Why non-negativity constaints are not part of the general optimization model ?

A: If a variable that is constrained to be nonnegative has value zero in some solution, then the…

Q: What is the limit formula function of one sided and two sided points.

A: What is the limit formula function of one sided and two sided points.

Q: 410 3. h(x) = { x -1<x<1 Domain: 21 Range: 6-5-4 -3 -2 -1 0 9 123 45 %3D = (8) -2+ -3- %3D (0)4 -5+…

A:

Q: Is there a difference between substituting values of a variable and the limit of a function? From…

A: In this question we have to give differences between limit and value putting.

Q: == ² x + 17, √8x + 13, ①8 x> 8

A:

Q: You did not answer the domain. Please see  b) what is the interval of your interest (domain) for…

A: The objective function is

Q: If the rule of the function fis "add four" and the rule of the function g is "multiply by 7," then…

A: the rule of the function f is 'add four' and the rule of the function g is 'multiplied by 7'

Q: Explain the concept of maxima and minima in your own word. Put relevant example.

A:

Q: Describe the end behavior of the graph of: ƒ (x) = −5x5 + 4x² + 12x² - 8 using limits. —

A: We check the polynomial's degree and leading coefficient to determine the end behavior. The…