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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A: we will find type of graph around given value of x to draw graph

Q: a) Draw a graph of a function y J (x) compatible with the informations given below. lim f(x) = -4…

A:

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A: Given

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A: We have to find the limit.

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A:

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Q: s evaluate e of 1. The

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A: Here, the objective is to find the following: 1) limx→3fx2)f3

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Q: 10. Let f(x) be a function such that f(0) 5, and lim fz)- = 4. Let g(x) = f(tan(rx)). Find g'(5).

A: The objective is to find g'(5).

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.