Which of the following choices correctly discusses the continuity of the following function? F(x)= (x+3)/(x^2-9) A. F(x)is continuous on (neg. infinity, -3)U (-3,3)U (3, infinity). F(x) has a removable discontinuity at (3,1/6) and a nonremovable discontinuity at x=-3. B. F(x) is continuous on (neg. infinity, 3)U (3,infinity). F(x) has nonremovable discontinuity at x=3. C.F(x) is continuous on (neg. infinity, -3)U (-3,3)U (3, infinity). F(X) has nonremovable discontinuity at x=3 and a removable discontinuity at (-3,-1/6). D. F(x) is continuous on (neg. infinity, -3)U (-3,infinity). F(x) has nonremovable discontinuity at x=-3.

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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.