f(x) = 5 – [x]

Q: A function f which has an absolute maximum and an absolute minimum should be continuous. Select one:…

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Q: Determine whether f is continuous at a.

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Q: 1-cos2x/1+sinx=sinx. Prove the identity

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

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Q: Justify that 12-21-3 if x + 3, f(x) = 4 I-3 if x = 3

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Q: At what points are the functions continuous? 1 y = 3x x - 2

A: Given function :                                                 y = 1x-2 − 3x…

Q: If the statement is always true, explain why. If not, give a counterexample. If f is a function that…

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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.