3. Given the following functions find the limits (if they exist).If the function is discontim the type of discontinuity: (i) lim –4x+4 x + 1, x >1 (ii) lim f(x) where f(x) : -1, a <1 (iii) lim -3z (x²+6z+9) (z+3)" 2-3

Q: Find the one-sided limits of f(x). - 7x + 3 -2r- 4 if x> -2 if x < -2 f(x) = Step 1 of 2: Find lim…

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 3 2 1 lim f(x) = 2 f(2)= lim f(x) lim f(x)= 1…

A:

Q: The graph below is the function f(x) -5 -4-5 -2 -1 O 4 3 2 Determine the following values. Enter…

A: The graph of the function  isAccording to the graph of the function, the value of the limit  is

Q: -5 -4 Ef +3 graph below is the function f (x) -3-2 -3) = lim f(x) = -3- f(x) = f(x)= 5 4 3- 2 +…

A: Explanation of the answer is as follows

Q: Let f(x) be given by the graph below: 20 y = f(x) 10 -20 -10 10 20 -10 From the graph, evaluate the…

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

Q: The graph below is the function f(z) 4- -5 4 -3 -2 -2 Determine the following values. Enter "DNE" if…

A:

Q: Find the horizontal limit(s) of the follov

A: Solution of the problem as follows

Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: 2. A portion of the graph of the function y = f(x) is shown in the figure. (a) State the domain and…

A: By the authoring guidelines of Bartleby, we can answer only first question from multiple question.

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.