Use the given graph of f to state the value of each quantity, if it exists. 1.limf(x) x→2  2. limF(x)  x→6  3.F(x)

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

Q: 1. Compute lim. ( ). 1 x→2+ 2 x² – 2x. where c is a real number. You may need to discuss according…

A: limx→2+1x−2−cx2−2x

Q: Find the limits from the given graph of f(). -2-1 1 2 34 S lim f(x)

A: Given,

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

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: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: V5x+9-3 -lim x+0

A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

Q: show that : Lim h→0  h / √5h + 4 − 2 =4/5

A:

Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: How do you solve this question

A: We know that, Limit of a function exist only when its left-hand limit is equal to the right-hand…

Q: The value of the constant k such that .2 k x +7 lim exits is X - 1 X → 1 7 - 7 -8 -6

A:

Q: lim x'e = 0

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Graph of the function is given, we have to find the following limits.

Q: Given the graph of y = f(x), y y = f(x) 1 2 3 -1 -2 lim f(x) = 0 then x→1 OTrue O False

A:

Q: 9. a. Sketch the graph of the following function: x + 1, if x 1 b. Find all values at which the…

A:

Q: Step 1 of 4: Find lim f(x). x--3- Enable Zoom/Pan 10 10 -10 Keypad Keyboard Shortcuts Selecting a…

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: 2x²+49 Calculate the exact limit, lim X→ -0 11x+1

A:

Q: Write ∞ or -∞ where appropriate.

A: Given  limx→∞1x1/3-1x-14/3

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

A:

Q: Use the given graph of f to state the value of each quantity, if it exists. lim x→2− f(x) lim x→2+…

A:

Q: E A) Find the value of (H) if, / A: |H 1 -1 (x3-1) 1 = lim,- 0. (x-1) 4 2 1

A:

Q: 7. If the line 3x - 5y = 7 is tangent to the graph of f at the point where x = 4 then lim А. B. С. 3…

A: Given line, 3x-5y=7 It can be written as 5y=3x-7  y=35x-75

Q: Answer the following from the given Graph: 5- 3. -3 -2 -1 1 3 -1 lim f(x) Choose.. 4. 2. 2. 4.

A:

Q: According to the Michaelis-Menten equation, when an enzyme is combined with a substrate of…

A:

Q: 12. Given f(x)=x² – 4x – 5. Find lim fx) –{2) x-2 2

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: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x<2x3-1      if x>217           if x=2  To find…

Q: 1. By using the following graph calculate the following values: y 20 15 10 f (x) 5 -10 -5 -1| 1 10…

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

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

A:

Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: lim X+2 マーX į =

A: We have to do simplification first.

Q: The cost of manufacturing a certain mountain bike is given by c(x) = 400,000 + 200x, where x is the…

A:

Q: 5. Given that -3.x2 + 9x – 5 < f(x) < x² – 3x + 4. Find lim,→-3/2 f (x). x2 + 6x + 9 For what values…

A:

Q: The rate for parking in the short-term lot (maximum of 12 hours) at the seaport is $1.50 for the…

A:

Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: 1. By using the following graph calculate the following values: 20 15 10 f (x) +++ -10 ++ -5 1 5 10…

A: The figure is given by

Q: 11. If we are told that the tangent line to the graph of y = f(x) at the point x = 3 is y = -2x + 1…

A:

Q: 10- In parts (A)-(C), find the indicated quantity for y = f(x) = 5- x. f( - 1)- f(- 2) (A) (-1)-(-2)…

A: Given the function simple put the value of (-1) and (-2)  find the value of y and put it on that…

Q: Step 2 of 4: Find lim f(x). x--3+ 10 10 -10 Keypad Keyboard Shortcuts Selecting a radio button will…

A:

Q: From the following graph, the value of lim f(2) is I-3 1- 0.5 -5 -4 -3 -2 -0.5- -1 -1.5 -2 L L... L

A: From the given graph

Q: b. The graph of y = f(x) = x, if -3 is shown in FIGURE 1.19 1, if t= -3 Find f(-3). Find lim f(x).…

A:

Q: 10. Given the graph below, what is the value of x of the function H(x) is discontinuous? h(x)== A. 0…

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

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

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

Q: Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S…

A: Given information: The function f(x) approaches 100,000 and g(x) approaches infinity as x approaches…

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x…

A: 9. There is an infinite discontinuity at x=0 and f(0)=-210. There is a jump discontinuity at x=1 and…

Q: The value of the constant k such that x2-kx+7 lim exits is x-1 x+1 -7 7 -8 8 -6

A:

Q: -10 2468 10 x -4+ ad • +8- -10- Find lim f(x) = %3D

A: The graph of the function f(x) is

Q: According to the Michaelis-Menten equation, when an enzyme is combined with a substrate of…

A: Given that  Rs=AsK+s where A,K are constants Now, we have to find the limiting reaction rate as the…

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.