2523 Find all the value(s) of x at which f(x) = answer, give all of the x-values separated by commas, e.g. if f(x) has a horizontal tangent line at x = 3 and x = 5 enter 3, 5. + 5x2 + x – 22 has a horizontal tangent line. If there is more than one Provide your answer below:

Q: 5. Verify Rolle's Theorem for f(x) = x² – 5x + 3 on [0,5]

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A: Given: fx=x3-7x Here the slope is, slope =ddxx3-7x=3x2-7 Now, f-2=-23-7-2f-2=-8+14=6f0=0

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Q: 1023 1322 Find all the value(s) of x at which f(x) answer, give all of the x-values separated by…

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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.