a) State the three conditions of continuity of a function f (x) at a point x=c b) find the value of the constant k that makes the function f(x) continuous at x=5 f(x)= kx+3; x greater than or equal to 5 f(x)=3x+k; x is less than 5 Be sure to use each condtion of continuity

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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.