Letf be a function defined below. x² + 3x] if xS0,x = 3 f(x) = || x+ 3 x+1 if T >x>0 x21 if Discuss the continuity of f at x =-3, x = 0, and x = 1. If discontinuous, give the type of discontinuity.

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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.