y = f(x)

Q: Answer the following True or False: If lim f(x) exists, then f(x) is a differentiable function at x…

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Q: Suppose lim f(x) = 0. What does this tell you about f(1)? Explain your answer using complete…

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Q: a. Draw a graph of a function that satisfies the following conditions. Then, state if the function…

A: Let us define a function which satisfies the given condition.f(x)=6-2x-2 when x≠34 when x=3 Now we…

Q: Let f(x) = 4+x if x < −2 if -2 ≤ x < 2. 6 x - if x ≥ 2 Sketch the graph of f. y 4 SH 3 2 4 2 2 4 2 X

A: ANSWER :​​   I have provided another graph without points, so it'll  be clearly visible .Here it is…

Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

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Q: (8+h)³ – 512 lim h-0 h

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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.