For the function g(x), whose graph is shown below, state the given values, if they exist. If they do not exist, explain your reasoning. 3 2 <2 -3 -4 a. lim g(x)= lim g (x)= lim g (x)= 8(b) = b. lim g(x)= lim g (x)= lim g (x)= g(0) = c. For the graph shown above, on what interval(s) is g (x) continuous? Be mindful to use appropriate brackets in your answer to communicate whether or not endpoints on your interval(s) are included.

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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.