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Before looking at g'(4), we need to check if g(x) is continuous at x = 4. Notice that we check that g(x) is continuous at x = 4 before we work on the derivative. a) (2 points) If we want to find g'(4), why do we care if g(x) is continuous at x = 4? Answer in your own words. b) (2 points) Evaluate g(4). c) (4 points) Evaluate the limit lim g(x). EXPLAIN. d) (2 points) Is g(x) continuous at x = 4? EXPLAIN using the definition of continuity