1) Consider the graph of function f(x): Evaluate: (a) lim f(x) x+-2- Ay 5- (b) lim f(x) x-2+ (c) lim f(x) X-2 (d) f(-2) -> (e) Is f continuous at x =-2? Explain. -5 -2-

Q: help with a breakdown for each step.

A: a)  1b) -1c)  does not existd)  does not exist Explanation:Thank you 😊

Q: Given the function f(x)=xel-2x²: a) Determine lim xe- and lim xe-2x² 24 X b) Determine all extrema…

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Q: 2)

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Q: (2) Use the definition of limit of a function to find lim x3+5x 2-22 - - 2 3x+2

A: Hence,By using the L'Hospital rule concept, we conclude that a given function limit does not…

Q: 4) Let f(x) = x-31, Find (a) lim f(x) x-3+ (b) lim f(x) x-3 (c) lim f(x) X-3 X-3

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Q: -4+x, x)= {=-x if x 2 3 if x 3 Evaluate the following expressions. lim f(x) = x-3 lim f(x) = x-3+…

A: f(x)=-4+x,    if x<3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

Q: I) Graph of f(x) is given on the right. Answer the following questions using the graph. a) lim f(x)=…

A: Given: The graph of function fx as, To find: (a)limx→-2+fx (b)limx→-2-fx (c)limx→-2fx (d)f2…

Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

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Q: 2x 1 if x 2 . Sketch the graph of f(x) = x 4. a) lim f(x) X-2 b) lim f(x) x-2+ c) lim f(x) X-2

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Q: (a) f(1) (b) lim f(x) (c) f(4) (d) lim f(x)

A: (a) From the graph of the function, The value of the function at 1 f1 is 3.   Thus, f1=3

Q: Give an example by sketching the graph of a function f that satisfies all the given conditions.…

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Q: 1) Sketch a graph of a function that has the following properties: lim f(x) = -2 lim, f(x) = 1 f(3)…

A: We can use the concept of graph in order to solve the given problem.

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…

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.