Part 3 of 4 Substituting the simplified numerator back into the derivative formula and simplifying, we have 90x - 90a f '(a) lim (x + 10)(a + 10), %3! X - a 90( lim x→a (x + 10)(a + 10)(x - a) lim x-a (x + 10)(a + 10) %3D Submit Skip (you cannot come back)

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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.