2. Which of the following is continuous at x = 0? I. g(x) = |x| II. g(x) = e* III. g(x) = In(e* – 1) A. I, II, and III B. I and II only C. II only D. I only

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: For what value of k is f(x) continuous at x=3? f(x) = (x-1)(x-3) 9-x² 3k, x=3 " x!= 3 (when x is not…

A: f(x)={(x−1)(x−3)9−x2,x!=3( when x is not equal to 3)3k,x=3

Q: Which of the following is the domain of f(x, y) = ln(9-x² - y²)? Ox² + y² ≤9 Ox² + y² ≥9 00< x² + y²…

A: To find the domain of the following function.

Q: Determine values of a, b that belong to Real Numbers so that attached function be continuous in all…

A: Step 1: Step 2: Step 3: Step 4:

Q: Which of the following are continuous functions of time? (a) The quantity of gas in the tank of a…

A:

Q: -5 -5 1 [ f(x) dx = 3, •[ 9(x)dx = 5 6 -6 Let f and g be continuous functions. If

A:

Q: For what values of k will the function below be continuous for all x? x³, xsk h(x) = x², x > k 1 and…

A: The function is said to be continuous at x=k if limx→k-f(x)=limx→k+f(x)=f(k).

Q: For what values of the constant c is the function f continuous on (-o, )? Show your work. S ex + 4,…

A: Please see the answer below

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.