Draw a rough sketch of a function that satisfies all the following: lim                                               x→-∞  f(x)=3  lim x→ 0-  f(x)=-∞ lim x→ 3-  f(x)=∞ lim x→ ∞  f(x)=0 lim x→ 0+  f(x)=∞ lim x→ 3+  f(x)=-∞

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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.