Consider the following function. 1 f(x) %3D X - 2 Determine whether f(x) approaches o or -∞ as x approaches 2 from the left and from the right. (a) lim f(x) X→2¬ lim f(x) (b)," X→2+

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A: Given :fx=2-3x2

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A: Consider two functions fx & gx By algebra of limits, we have, 1. limx→a fx+limx→a gx=limx→a…

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A: The given function f(x) is:

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Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: b) Find two functions such that lim, 0 f(x) = 0 lim, 0 g(x) = 0 but lim, 0 f(x)g(x) = 1

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Q: Find lim h(x), if it exists. f(x) = 6x2 + 2x + 9 f(x) (a) h(x) = lim h(x) = x→の f(x) (b) h(x) : x2…

A:

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Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: Let f(x) = (1 + x)1/x. (a) Estimate the value of the limit lim (1 + x)1/x to five decimal places.…

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Q: Find the value of lim f(x) 1 f(x)3= 1+5/x -0.6 -0.5 0.16 01 E -0.6

A: To find out the correct answer.

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A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 1. Determine whether the function f(x) = x2 + 6x + 9 is continuous at x =-= Sketch its graph…

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Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

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Q: Evaluate in terms of the constant a. lim (2a + x) x→ 0

A: To Determine:  Evaluate in terms of the constant a.…

Q: Find lim h(x), if possible. f(x) = -5x2 + 2x – 6 f(x) (a) h(x) lim h(x) = f(x) (Б) Һ(x) %3D lim h(x)…

A:

Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: (4) Consider the function + 3bx + 262 if x 1 For which value(s) of b does lim f(x) exist? Justify…

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Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: 14. (a) Use a graph of 1(6) = (1- 2)" f(x) = to estimate the value of lim f (x) correct to two…

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Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Based on the previous item, what is x + 2 lim x→1+ x – 1.

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Q: (d) lim f(x) x-3 g(x) (e) lim [x²f(x)] x-2 (f) f(-1) + lim g(x) x--1

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Q: 3. Is lim f(x) always equal to f(c)?

A: Is limx→cfx always equal to fc The given statement is not necessarily true.

Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

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Q: 4 Use the following graph of f(x). 2- a. find the limƒ (x) x--3 b. find the lim f (x) -2- c. is f(x)…

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Q: 4. What is the sign of a if f(x)= ax' +x +1 satisfies lim f(x) = 0? x→-0

A: Given that fx=ax3+x+1 satisfies limx→-∞fx=∞. Note that the given polynomial having odd degree.

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Q: a. lim f(x) =1 and f(0) = -3

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Q: x² +1 if x -1

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Q: 1. Sketch a graph of a function f(x) with the following properties: f(-2) = 0, ƒ(2) = 0, lim_f(x) =…

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Q: x - 2x What is wrong with applying L'Hôpital's Rule to lim x+0 3x – 2

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Q: Given: f(x) = 4 –x’ and g(x) = Vx+1 a. lim f(x) =

A: Given, fx=4-x2gx=x+1

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

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Q: + 34, find f '(x) using the definition f '(x) = lim h→0

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Q: Find the limit of the function algebraically. x2 + 2x lim

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Q: * :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

A: Apply the following steps to find the value of the given limit. Factorize the expressions in the…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.