Consider the function f defined by the formula ( ax2 + bx – 3b if x < 1, f(x) = { x3 + bx² + a if æ > 1. Determine the values of a and b for which f is differentiable at x = 1 In the space below, enter the value of a.

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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.