Consider the graph of the function f(x) below. What is the value of the lim x→3? What is f(3)? this function continuous at x=3? Why or why not? X. -2

Q: . Does the existence and value of the limit of a function ƒ(x) as x approaches c ever depend on what…

A:

Q: For the function graphed here, show that

A:

Q: Use the graph to solve for z.* := lim f(r) 3 3 f(x) 2. 2.

A:

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: If a function f has no limit as x approaches c, then we say that lim f(x)

A:

Q: Sketch the graph of a function with the given limits.

A: Given the function with the limits.

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

A:

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

A:

Q: Consider the function x + 1| – |x – 1| f(x) Estimate |x + 1| - |x – 1| lim x 0

A: The given function f(x) is:

Q: Based on the given values, is the function continuous or not? If not, select the condition which is…

A: In the given question we have to tell such function which satisfies the given three property and and…

Q: Use a graph of f(x) = In x to answer the following questions. (a) Find lim In x. (b) Where does the…

A: WE have to use the graph of f(x)=ln(x) to find , a) limx→0+f(x) b) where does the function ln x have…

Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

A:

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

Q: Let f(x) = (1 + x)1/x. (a) Estimate the value of the limit lim (1 + x)1/x to five decimal places.…

A:

Q: (fif2..f)is di fferentiable at x, proofthat ... by using f(x)– f(*.) f (x)=lim, x-x,

A:

Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

Q: . For the function below, answer the following questions: 31 2 2. 3 4 5 6 ) Where is the function…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Evaluate in terms of the constant a. lim (2a + x) x→ 0

A: To Determine:  Evaluate in terms of the constant a.…

Q: If you know in advance that lim f (x) exists, can you determine its X+5 value from a plot of ƒ for…

A: Given that limit of f(x) exists at x=5.That means the function f(x) is continuous and differentiable…

Q: Use the graph to evaluate the limit. lim f(x) x-0

A: We are asked to evaluate limit of the function using graph. Examine the graph to determine whether a…

Q: Which graphs do not agree with lim f(x)? x1

A:

Q: Evaluate the function for values of x that approach 1 from the left and from the right. 3 f(x) = x3…

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

A:

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: 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: find the limit of g(x) as x approaches the indicatedvalue.

A: Given: limx→-310-x2(g(x))1/3=0 Simplify.…

Q: Is the function continuous at x = -3? If not, what type of discontinuity occurs? Explain. 6. lim…

A: Given query is find whether function is continuous or not on x =-3.

Q: Consider the function: f (x) = (91n x)* What is lim f (x)?

A:

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

A:

Q: Consider the function f(x) = √x.  Is limx 0 √x = 0 a true statement? Explain.

A: Given: The function f(x)=x Statement limx→0 x=0 We have to determine the given statement is true or…

Q: Use the graph to compute the quantities asked for. y lim, 3 f (x) does not exist -1

A: our objective is to find the limit

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

A:

Q: Find the value of the positive constant c such that....

A: Given- limx→∞x-cx+cx=14 To find- The value of c. Concept Used- If any limit of the function fxgx in…

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

A:

Q: Use the graph below to evaluate: lim f(x) = %3D X→1

A:

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

A:

Q: lim(-3x² – 1) x-3

A: Solution:

Q: The function f(x) of the below graph is discontinuous at x = -1 because: a) f(-1) does not exist b)…

A:

Q: Based on the given values, is the function continuous or not? If not, select the condition which is…

A: A function is said to be continuous at x=c if limit of function at x=c exists that is limx→cf(x)…

Q: Find lim f(x) given the graph of

A: Given that: Graph of the function:

Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

A:

Q: Find the limit of the function algebraically. x2 + 2x lim

A:

Q: Find lim f(x) X+ 0-

A:

Q: Find the limit using your understanding of the end behavior of the function. lim e* 7x

A:

Q: (2+h)* Use the definition of the derivative to evaluate lim h+0 h

A:

Q: f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +0, lim f'(x) = -00

A:

Q: Consider your answers from the previous problem for the piecewise function x > -4 f(x) = X+4…

A: Check the function limit is exist or not and check the function continuity

Q: Find the following limits if they exist. b) lim(x+ e*}.

A: Given that, limx→0x+ex1x Simplify given limit as follow: elnlimx→0x+ex1x

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.