Question 3. (a) At 12 noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/ hour and ship B is sailing north at 25 km/ hour. How fast is the distance between the ships changing at 4 : 00 PM? (b) Find the value of the constant k that makes the following function continuous at x = 2: 2k – e-(2-3), æ <2 f(x) = x? – 3k, x > 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.