4.Sketch the graph of a function f that satisfies all of the given conditions: lim f(x) = 2 , the notation is x approaches x→0¯ zero from the left. There should be a minus symbol superscript to the right of 0.; lim f(x) = 0; 1lim f(x) = 3; lim f(x) = 0; x→0+ x→4 x→4+ f(0) = 2; and f(4) = 1.

Q: consist of only one graph): (a) f(-2) = 2 (b) lim f(r) = 0 %3D (c) lim f(r) = 1 I-3- (d) lim f(r) =…

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Q: 6- Follow the graphing strategy and analyze the function f(x)= 3x³ -10x³ State all the pertinent…

A: We have to graph the given function and also find the limits.

Q: d. lim x_1 x-1

A: Since there are multiple questions so according to guidelines we can solve only first one.

Q: f (x)

A: (a) Given function is: fx=x2-x-2x+1 Then we get, fx=x2-x-2x+1⇒fx=x+1x-2x+1⇒fx=x-2 Hence the graph of…

Q: For the function shown below, determine the following: a. limf(x) b. limf(x) ズーラ2 c. lim f(x) d.…

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Q: (8+h)³ – 512 lim h-0 h

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Q: If f is a function such that f(2)=4,can you conclude anything about lim as x tends to 2 for the…

A: The objective of the question is to understand if we can conclude anything about the limit of a…

Q: Use the 8 and € approach like we did in our class to prove the following lim (3x²-5) = -2, Assume 8…

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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.