Consider the function f(x)= x^2-1/x+1 . If I want to evaluate f(-1) what value do you get? If I want to evaluate lim x—->-1 f(x) what value do I get? Why do I get two different answers?

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Q: x2 – 4, x 3 -

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A: Solution. :

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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.