Prove that r+ 4r +3 = 0 has eractly one real root using the outline below. (a) Use IVT to prove that the equation r + 4x +3 = 0 has a real root. (b) Use MVT to prove that the equation r + 4x +3 = 0 has at most one real root. (c) Conclude that the equation r + 4x +3 = 0 has ezactly one real root.

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Q: quadratic equation

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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.