Question

In: Math

sketch a graph where the limit x-->2 exists but f(x) is discontinuous at x=2, what type...

sketch a graph where the limit x-->2 exists but f(x) is discontinuous at x=2, what type of discontinuty is this?

Solutions

Expert Solution

I am attaching the pictures of solution. If you find my answer helpful please press thumbs up button. Thanks


Related Solutions

Use the graph to find the limit L (if it exists). If the limit does not...
Use the graph to find the limit L (if it exists). If the limit does not exist, explain why. (If an answer does not exist, enter DNE.) h(x) = -x/2 + x2 (a) lim x→2 h(x) L = (Select One) The limit does not exist at x = 2 because the function is not continuous at any x value. The limit does not exist at x = 2 because the function approaches different values from the left and right side...
Let f(x) = 14 − 2x. (a) Sketch the region R under the graph of f...
Let f(x) = 14 − 2x. (a) Sketch the region R under the graph of f on the interval [0, 7]. The x y-coordinate plane is given. There is 1 line and a shaded region on the graph. The line enters the window at y = 13 on the positive y-axis, goes down and right, and exits the window at x = 6.5 on the positive x-axis. The region is below the line. The x y-coordinate plane is given. There...
For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.
For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.
For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.
For the following exercises, consider the graph of the function f and determine where the function is continuous/ discontinuous and differentiable/not differentiable.
Sketch a graph of f(x)= -2(x-1)^2(x+1), based on all the data about zeros, long run behavior,...
Sketch a graph of f(x)= -2(x-1)^2(x+1), based on all the data about zeros, long run behavior, etc.
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)=-2x/(x-1)^2...
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)=-2x/(x-1)^2 Part 1: Find the​ x-intercepts of​ f(x). Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A.The​ x-intercept(s) is/are at x=____. ​(Type an integer or a decimal. Use a comma to separate answers as​ needed.) B. There are no​ x-intercepts. Part 2. Find the​ y-intercepts of​ f(x). Select the correct choice below​ and, if​ necessary, fill...
Determine all significant features by hand and sketch the graph f(x)=x/x+2 Please provide all work needed...
Determine all significant features by hand and sketch the graph f(x)=x/x+2 Please provide all work needed to solve the problem with explanations. Thank you!
For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a.
For the following exercises, use numerical evidence to determine whether the limit exists at x = a. If not, describe the behavior of the graph of the function at x = a. 
Sketch the graph of f by hand and use your sketch to find the absolute and...
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(t) = 2 cos(t),    −3π/2 ≤ t ≤ 3π/2 absolute maximum value     absolute minimum value local maximum value(s) local minimum value(s)
Sketch the graph of f by hand and use your sketch to find the absolute and...
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x2     if −1 ≤ x ≤ 0 2 − 3x     if 0 < x ≤ 1 absolute maximum value     absolute minimum value local maximum value(s) local minimum value(s)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT