1. For the functions listed below, complete the following (i) create a table of values for x near the given value. If there appears to be a limit L for x near "a", (ii) find a "b" and make a plot showing that if x is b-close to a, then the function values are 0.01-close to L, and (iii) use the "limit" command to confirm the limit. If the limit doesn't seem to exist, consider whether one-sided limits exist. x³-1 (a) lim x→1 x-1

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A: From the given graph x→0.35- lies in the interval 0.2<x≤0.4. and in the interval 0.2<x≤0.4.…

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x2 - 4x…

A: fx=x2-4xx2-16 When x=4.1, f4.1=4.12-44.14.12-16=0.410.81=0.506173 When x=4.05,…

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A:

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A: From the graph, y=1 is the horizontal asymptote. And, as x goes to negative x-axis function goes to…

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A: a)

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A: the limit exist and equal to -16. see below the calculation

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A: We have to find out

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A: Given:  The graph of function,

Q: For which of the following functions does the limit as x → 2 exist?

A: Given: 1.limx→2x-2x-22.limx→2sinx3.limx→2x2-4x-24.limx→2x2+16x-225.limx→2x2+x2x-16.limx→2tanπx4

Q: Find the following limit, correct to two decimal places V14x2 – 9 lim 3x – 15

A:

Q: What is the limit as x goes to 0 for (e^x-1-x)/x^2?

A: Please refer the attached image for complete solution.

Q: Find the indicated one-sided limits, if they exist.

A: Find the indicated one-sided limits, if they exist.     fx=-x+6 ,   if x≤05x+5  ,   if x>0

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph,  the…

Q: For the function A whose graph is shown, state the following. (if the limit is infinite, enter 'aæ'…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: Please see the answer below.

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: Limits

Q: find the following limits based on the graph of y = h(x) which is shown in figure 1. give…

A:

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A:

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Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'o'…

A: The limit of a function f(x), as x→c, exists if the left limit and the right limit exist and are…

Q: Evaluate the limits at the indicated values of x and y.

A: This question is related to limits, We will solve it using given information.

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A:

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A: L'Hospital's rule states that, the limit of the ratio of two functions is equal to the limit of the…

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A:

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A: Sol

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: (a)

Q: A machinist is required to manufacture a circular metal disk with area 584 cm-. Give your answers in…

A: Note:- Area of circular disk = πr2; Here "r" is radius of disk.

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A:

Q: Estimate the following limits based on the graph of y = f (x) which is shown in figure 1. Give…

A: Explanation

Q: If the limit of a function f at x-3 equals -4, then which of the following are true?

A:

Q: B. . .] For each of the following limits, use the properties of limits to compute the limits. Show…

A:

Q: Given the provided graph of f(x), find the following limits. a) As the limit x nears (-infinity):…

A: (a) To calculate the limit x-nears (-infinity) f(x) From the given graph of f(x), At x nears to…

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Q: Graph the function to find the indicated limit

A:

Q: Estimate the following limits based on the graph of y = f(x) which is shown in figure 1. Give…

A: Note: Since you have posted multiple questions, we will be solving only the first one for you as per…

Q: If the limit of f(x) is 5 and the limit of g(x) is 2. What is the limit of f(x)*g(x)?

A:

Q: N(t) = No exp (-kt)] %3D

A:

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

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Q: Any number minus itself is 0. Explain why a ∞−∞ limit isn’t necessarily 0. (a) Why doesn’t the idea…

A: given

Q: What is the value of the limit of the given function below as "x" approaches 2?  f(x)=x^2

A: Our Aim is to tell the value of the expression given below:-limx→2 x2 -(i)

Q: For the function R whose graph is shown, state the following. (If the limit is infinite, enter '' or…

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.