.2 x # 2 6. Let f(x) ={x+2 (k x = 2 Find the value of k so thatf(-2) = lim ƒ (x). %3|

Q: d. lim 12x + 3 Vx + 6 e. lim * 3 x + 2

A: We need to evaluate the following limits- (d) limx→212x+33 limx→212x+33=12×2+33…

Q: х3-2х-1 lim x-3

A: This question is based on Limits

Q: Use the graph of the greatest integer function, y = [x], to find the limits given below. Ay 4- [0]…

A: [.] the greatest integer function returns the closest integer less than or equal to the given…

Q: Find the limits from the given graph of f(). -2-1 1 2 3 4 S lim f(x) T0-

A: The graph of the function fx is given as ,

Q: b* – 1 Show numerically that for b =3 and b = 5, lim appears to equal In 3 and In 5, respectively.

A: Here given

Q: The limit that can be used to evaluate S(x- 3) dx is, if f(x) = x - 3: k(S-2) O lim, E (2+ 2) ().…

A: Given, ∫25(x-3) dx ⇒f(x) = x-3 To find: Accurate area by using limit. Solution. Divide the interval…

Q: [0] lim 0→3+ 0

A:

Q: 2x² +3x+1 10.) lim x00 3x2 -5x+2

A: We can evaluate the limit as below

Q: fr'e* for 1 <x<3' for 0<x<1 If (x)= {e then limf(x) is A. O В. 1 С. е D. e E. nonexistent

A: The given function is defined for the interval [0,1) and (1,3].

Q: 4.) x²-9 lim X-3 x-3

A:

Q: Find lim (e* + x³ /2+2x)²/*. 1/x X+ 0+

A: Use log property and then use l hospital's rule to solve the limit.

Q: 6. Use the graph of the function f(x) = He to discuss the limit lim 40 f (x). 1+e!/x

A:

Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If the line 3x - 5y = 7 is tangent to the graph of f at the point where x 4 then lim В. A. D. 5 С. З

A:

Q: (a) Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 i. Lim- ii. Lim X-5+ X - 5 (b) The total…

A: Step 1: Consider the provided question, Hello. Since your question has multiple sub-parts, we will…

Q: Find the limits of the Function 2 (x + h)² – x² lim h→0 h

A: We can solve this using the L'Hospital rule. And also from expanding equation we can solve easily.

Q: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

A:

Q: Vx-2 lim х+4 х-4

A: To evaluate: limx→4x-2x-4

Q: 3. y = f(x) 4 6. -1 lim f(x) =

A:

Q: In parts (A)-(C), find the indicated quantity for y = f(x) = 5 – x². A) f(- 1)– f(– 2) (-1)-(-2) f(…

A: Given function is y=f(x)=5-x2f(-1)=5-(-1)2=5-1=4f(-2)=5-(-2)2=5-4=1f(-2+h)=5-(-2+h)2=1+4h-h2…

Q: The limit of a function y = f(x) as x approaches c isdenoted by the symbol________

A:

Q: 21. The cost of manufacturing a particular videotape (in dollars) is C(x)=15,000+ 45x , where x is…

A: cost function C(x)=15,000+45 x

Q: Which of the following is the correct limit defihition for the derivative of g(x) = + 4? Select the…

A: Consider the formula for the limit of the  function f(x).

Q: Ex x-2 XE3, X-2 12) Consider メレ3 2) lim. (f(x) b) lim. (f(x)

A: Topic:- limit

Q: lim (t – [t]) t→4+

A:

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

A:

Q: Please find the limit (in terms of the constant a).

A: it is given that

Q: 4. Given that f(x)=4x - 3 f (1+h)- ƒ(1) Find lim ,x21

A: Given query is to find the value of indicated operation.

Q: x²-4 lim x-2 (x-2)² 2–4

A:

Q: 2. Given (2x 2x+3 x>4 f (x) = x<4 lim f(x) .Find x→4

A:

Q: x2-1 5.) lim x-1x2-3x+2

A:

Q: The function values for h(x) near x = 1 are given in the table below. -0.10–0.05–0.011 2.01 2.05…

A: Given

Q: lim -2)2 x-2 x2-4 3.)

A:

Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7…

A:

Q: x - 2x What is wrong with applying L'Hôpital's Rule to lim x+0 3x – 2

A:

Q: lim(-3x² – 1) x-3

A: Solution:

Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Q: Given: f(x) = 4 –x’ and g(x) = Vx+1 a. lim f(x) =

A: Given, fx=4-x2gx=x+1

Q: [VALUATE THE LIMIT OF THE GIVEN FUNCTIONS: 3) Lim Jx-2 メ→2x-4

A:

Q: 3. If f and are continuous functions with f(3) 4 and lim 2f(x)-9(r)3D5, what is g(3)?

A: To evaluate the value of the function

Q: 1. Complete the following tables of values to investigate limy-1(x2 – 2x + 4) X f(x) 1.6 1.35 1.05…

A:

Q: Q3) If the function {2x +1 lx² + 2 x> h) x <hS f(x) = having limit at x = h. Find the value of h.

A:

Q: Given ƒ (t) = L-¹ [³+4 f value of k is 3s+1 s³+4s²+s(k−3) if lim f(t) = 1, then the t->∞0 10

A:

Q: find the limit of f(x)= ((x+h)^3-x^3)/h as h approaches 0

A: SOLUTION-

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

A:

Q: 6) Find lim f(x). X>T/2

A: Given graph we have to find limx→π2f(x)

Q: (x+2)7(x-5)* lim x→b (x+6)3 (x+8)10 DNE %D

A:

Q: Answer the following questions given the graph below. p lim f(x) = x→0+ (2) f(-3) = P lim_f(x) = (4)…

A: (1) limx→0+f(x)=1

Q: Find the limit as x approaches infinity of the function V2 – x2 h(x) х3 — х + 1

A: Given:  h(x)=2-x2x3-x+1h(x)=x2 2x2-1x31x3-1x2+1  (Taking highest power of x in the…

Q: b. For what value of (k) is the function y=f(x) continuous at x-3. x3-3x2-4x+12 x + 3 x-3 f(x) = %3D…

A: