Let g(x) be a differentiable function on [-1,1] such that g(-1) = 9 and g(1) = 13. Which of the following statements is certainly true? g(x) has a tangent line with slope -2 for some CE (-1,1). g(x) has a vertical tangent line for some CE (-1,1). g(x) has a tangent line with slope 2 for some се (-1, 1). g(x) has a horizontal tangent line for some CE (-1,1). g(x) has a tangent line with slope for some Се ( -1,1). 1/2

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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.