4. Find the following limits. Remember, show your work. x2 + 2x – 8 a. lim x+2 x2 -x - 2 b. lim sin 4x X0 3x 16+x - 4 C. lim x+0 27x2 + 100x - 6 d. lim x+00 9x2 - 9x + 90

Q: Use the graphs (see attached) of f and g to find the domain of f + g.

A: Given: Blue line show graph of function f(x). Red line show the graph of function g(x). Domain is…

Q: Sketch the graph off and determine where fis nondifferentiable. 2x if x < 1 f(x)= 2 if x21 OA. Q ✔…

A:

Q: ay the domain of g(x) is (-0o, - 3) U (-3, 0) Is g(x) a continuous function? swer5 Ke no not enough…

A:

Q: 7. Given the graph of a function f above, calculate the value of each limit. ( possible answers…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Find a constant c such that x² – c2 if x 4 g(x) ={ is continuous everywhere.

A:

Q: Draw a graph that is continuous, but not differentiable, at x = -2. Choose the correct graph below.…

A: A function is not differentiable if left hand derivative is not equal to right hand derivative.

Q: Question 2. Find the maximum and minimum values of the function f(x, y) xey² on the curve C, where C…

A:

Q: For the figure below, state the intervals on which f(X) is in the x- and y- axes in the graph is 1.

A: To find the intervals where the given function is continuous using the graph.

Q: 3. Given the function y = 4x³ - 11, the third difference will all equal: a. 4 b. 24 c. 12 4. If 4x³…

A: Given We have to find the third difference.

Q: _1. What do you call he abl or graph that displays the frequency of various outcomes in a sample? A…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three MCQ at a time…

Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: The graph of y = f(x) is shown below and contains the coordinates A(3, 7) and B(4, 10). flx) 21. If…

A:

Q: 8. Write the expression for RRAM to find a lower estimate for the speed when t = 5.

A:

Q: If f(x) is continuous at x=a, then a slope exists at x=a.

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.