15. Use the graph of f in the figure to do the following. a. In the interval (0,5), f is not continuous at a. Find the values of x in the interval (0,5) at which f is not continuous. (Use a comma to separate answers as needed.) b. Find the values of x in the interval (0,5) at which f is not differentiable. c. Sketch a graph of f'. b. In the interval (0,5), f is not differentiable at (Use a comma to separate answers as needed.) AY 20- c. Choose the correct graph below. 16- 12- O A. В. Ay 50- Ay 50- 8- 4- 0- 24 -4- -8- -12- -50- -50- -16- C. D. -20- 50- 50- -50- -50-

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Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

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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.