The point P(0.333333333333333,6) lies on the curve y = 2/x . Let Q be the point (x,2/x). a.) Find the slope of the secant line PQ for the following values of x. If x = 0.433333333333333, the slope of PQ is: ---- If x = 0.343333333333333, the slope of PQ is:---- If x = 0.233333333333333, the slope of PQ is: --- If x = 0.323333333333333, the slope of PQ is: --- b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.333333333333333,6).

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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.