A function f is even if f(- x) = f(x) for all x in the domain of f. If f is even, with lim f(x)= - 4 and lim f(x) = 6, find the following limits. x1* X-1 a. lim f(x) X-1 b. lim f(x) X-1 lim f(x)= a. X-1* (Simplify your answer) b. lim f(x) = X-1 (Simplify your answer)

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

A:

Q: help with a breakdown for each step.

A: a)  1b) -1c)  does not existd)  does not exist Explanation:Thank you 😊

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: f(x + h) – f(x) Evaluate lim h-0 for the given value of x and function f h f(x) = 5x2, x = -2 f(x)…

A:

Q: Jse the graph of the function f(x) to answer each question. a. f(0) b. f(2) c. f(3) d. lim f(x) e.…

A:

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: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

A:

Q: 2x 1 if x 2 . Sketch the graph of f(x) = x 4. a) lim f(x) X-2 b) lim f(x) x-2+ c) lim f(x) X-2

A:

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: Given graph is

Q: If-x-2+5 ≤ g(x) ≤ |x − 2|+5 for 1 ≤ x ≤ 3, evaluate lim, 29(x). Provide your answer below: lim g(x)…

A: Given,  then we have to evaluate

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: What is the definition of lim f(x)?

A:

Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

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: We know the following limit expression to be true: lim (-x² + 8x-6) = 1 X-1 Choose the most direct…

A: The limit of the function f(x)= (-x2+8x-6); is 1 when x tends 1 .

Q: Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim…

A:

Q: Use the graph to find the following limits and function value. a. lim f(x) x-3" b. lim f(x) x-3* c.…

A:

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.