The graph below is the function f(x) -5 -4 Lo -2 O L 2 -1 -2 m to Lex za 34 Determine which one of the following rules for continuity is first violated at a = Of(a) is defined. lim f(x) exists. 2 40 Olim f(x) = f(a).

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

A:

Q: 2. By drawing a graph illustrate an example of a function f(x) such that it satisfies these three…

A: Topic = Functions

Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

A:

Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

Q: Which of the following statement/s is/are true about the function whose graph is shown below? A fx)…

A:

Q: e functions f, g, and h from Exercise 2. an e-8 proof to support the fact that lim h(x) is equal to…

A: Here, in the question consider the functions f(x) = 3x+16x-12x+6, g(x) = {-10  when x =-6 3x-2 when…

Q: . The function f (x) is defined by the rule 2-36 if x + 6 f (x) x-6 25 if x = 6 (a) Calculate lim f…

A: Continuity criteria :  f ( x ) is continuous at x = a when following properties are satisfied :  1)…

Q: 3. Which of the following is true: a. If f(x) is differentiable it's continuous. b. If the lim f(x)…

A: We are given some statement and have to answer on the basis of those statements

Q: (x² + 7x – 5, x 3' ih(x) on the interval [2,4].

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: 16. Determine lim f(x) if the given function is x→2 f(x) = { 1², I 8-2x, if if x 2

A:

Q: 5. Evaluate the following limits: (a) lim Inr xxx (b) lim In r →1-1

A:

Q: : State the three-part Definition of Continuity.

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: The graph below is the function f(x) -5 -4 -3/-2 -1 -1 -2 3 -4 -5 5+ 4 3 02 1 lim Determine which…

A:

Q: G(x): x³+3x+2 x+2 [[_x_]] + 1 -12-X1 - x+3 + 1 x-r if x < -1 if -1 ≤ x 1 if xz1

A:

Q: The graph below is the function f(x) 5+ 4 3 2 01 -5 -4 -3 -2 -1 -1 -2 3 -4 -5+ 1 2 4 5 Determine…

A:

Q: Prove that v5 is irrational.

A:

Q: If f is a function such that f(2)=4,can you conclude anything about lim as x tends to 2 for the…

A: The objective of the question is to understand if we can conclude anything about the limit of a…

Q: 2x2 +2x-4 lim X→1 X-1

A:

Q: The function shown in the graph to the right satisfies lim f(x)=D4, determine the appropriate X2…

A: Consider the given figure. (a) We have to find the value of δ such that "if 0&lt;x−2&lt;δ then…