“Find functions f(x) and g(x) such that the following statements are true.  Explain your thinking on how you found the functions. the limit as x approaches 1 of f(x) = 0 and the limit as x approaches 1 of [f(x)g(x)] = 3  when using limit laws for the second part you basically get zero times g(x) so how do you get 3? If i were to say f(x) = (x squared plus x) which equals zero and make g(x) 3/(f(x), the limit doesn't exist for g(x) so wouldn't that make it invalid?

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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.