6. For the function h whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. YA (d) h(-3) (e) lim h(x) (f) lim h(x) x0+ -4 -2 2 6.

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: 4. Given the graph of the function f below, evaluate lim f(x).

A:

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: Consider the piece -wise function h): = (x)4 x²-2x +3 for x 2 Find lim hx) Find is h«) Contiouous?…

A:

Q: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

A:

Q: What conclusion can be made if: a. A function changes from a decreasing interval to an increasing…

A: Given that: a. A function changes from a decreasing interval to an increasing interval.b.…

Q: Consider the graph of y = f(x). 4- -8 -7 -6 -5 -4 -3 -2 -1O 2 3 5 -2 For infinite limits, use 00 = 0…

A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

Q: Determine whether the shown statement makes sense or does not make sense, and explain your…

A: The functions whose graphs can be drawn without lifting the pencil off the paper is a continuous…

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

A:

Q: y 10 44 8 10 From the given graph, evaluate lim f (x) if it exists. (Enter an exact number. 4, 2. 6,…

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: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

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

A: Given: a.limx→3-hxb.limx→-3+hxc.limx→-3hx

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Let us consider limx→a-f(x)=A and limx→a+f(x)=B We have, A is not equal to B. When x gets close to…

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

A:

Q: 5. For the function f whose graph is given, state the value of each quantity, if it exists. If it…

A:

Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

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: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: Suppose that a function f(x) is defined for all real values of x except at r = c. Does it imply the…

A: Here we have to check whether the limit exists or not.

Q: 10. Given the graph of f(x) below, evaluate lim (f(x)) X→-2~ 4- -2- -2 0. -1-

A: Given

Q: 3. If f is a continuous function, what can you say about lim f(x)?

A: Given thatf is continuous To determinelimx→1f(x)

Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x&gt;19,500

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: 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: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: 1. For the function ƒ whose graph is given, determine the following limits. 3 lim f(x) X2 -6 -5 -4…

A: A limit of a function at a point exists if at that point the left-handed and right-handed limit…

Q: 14. (a) Use a graph of 1(6) = (1- 2)" f(x) = to estimate the value of lim f (x) correct to two…

A:

Q: Find the limit.

A: The limit of a function limx→Xfx=Y means that the value of function fx can be as close to Y by…

Q: Find lim f(x) for the given piecewise function. 2x + 1 if x 6 If the limit does not exist, enter…

A: Solution is given below:

Q: 23. What is the value of lim h→0 (A) 0 (B) (C) (D) 1 1 32 1 (16+h)-2 h

A:

Q: 3. 13 6. Use the graph above to find the value of : lim f(x) = %3D

A:

Q: Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

A:

Q: Use technology to graph f(x) =! and find lim! O -00 O Does not exist

A:

Q: Use the graph of y = f(x) to answer the question regarding the function. Step 1 of 4: Find lim f(x).

A:

Q: From the graph: (x) is discontinuous at x= 3 because of (a) Lim f(x) = f(3) (b) Lim f(x) doesn't…

A: According to graph at x = 3

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

A:

Q: Given the graph of the function below, what is lim f(x)?

A:

Q: lim(-3x² – 1) x-3

A: Solution:

Q: Q.4: Prove or disprove, lim f(x) = 4 If f (x) = } x # 2 x = 2 x→2 2.

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: Find lim f(x) given the graph of

A: Given that: Graph of the function:

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: If + 1for all positive x-values, then what is lim f(x)? X- 4

A: We have to find limit

Q: graph the function for which f (0) = 0, f (2) = 0, f ' (1) = 0, f ' (3) = 0 , f ' (4)=1,…

A:

Q: Suppose f(x) = x2 if x ̸= 2 and is undefined at x = 2. The domain is (−∞,2)∪(2,∞). Find lim f (x).…

A: The limit exists at x tends to 2 for f(x). First of all, consider the condition for the limit to…

Q: if Lim EGx) -5 メ→2 X -2 Fina Lim f (x) メ→2

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: According to the graph of f(x) given below, f(x)– 2 (a) Is lim positive? ("yes" or "no") [a] (b) lim…

A: Look at the graph and find few values. f(0) = 2 f(1) = 1 If at any point tangent is parallel to…

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.