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Q: Give the equation(s) for a single function, f(x), that satisfies all of the following: lim f(x) =1…

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Q: Use the graph of f(x) below to answer the following questions: 4 3 2 y y=f(x) 1 1

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Q: 2. For the function g(t) whose graph is given, state the value of each quantity, if it exists. If it…

A: Given, the graph of the function g(t)- Limit at any point x=a exists, if Right hand limit and left…

Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

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Q: Graph f (x) to evaluate lim f(x). x 3 Enter the exact answer. lim f(x) = Number f(x) = 4x4 17 x3 x…

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Q: 2. A portion of the graph of the function y = f(x) is shown in the figure. (a) State the domain and…

A: By the authoring guidelines of Bartleby, we can answer only first question from multiple question.

Q: a) Sketch the graph of the function f (x) = {2x – 3 if æ 2 then evaluate lim f(x), lim f(x) at a =…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…

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.