Draw a graph of a function y = f(x) compatible with the informations given below. lim x→−∞ f(x) = −4 limx→∞ f(x) = 7 lim x→−7− f(x) = 2 lim x→−7+ f(x) = −2 lim x→−3− f(x) = −6 lim x→−3+ f(x) = 3 lim x→0− f(x) = −∞ lim x→0+ f(x) = ∞ lim x→4− f(x) = −∞ lim x→4+ f(x) = 3 lim x→5− f(x) = −2 lim x→5+ f(x) = −2 lim x→8 f(x) = 10 lim x→11 f(x) = 20 lim x→15 f(x) = 0 f(−9) = 0 f(2) = 0 f(5) = −3 f(6) = 0 f(15) = −5

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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.