x2 -2x -8 if x # 2 x+2 1. Let f(x) = 11 if x = 2 Using the precise 8- e definition of limit only, prove that limr-2 f (x) = -6. Show all work. %3D lim X→-2

Q: b) Now, follow an algebraic approach to compute the limit 13 – 1 lim 1 I-1 and the limit V9+x– 3 lim

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Q: 8. Find the indicated limit 2X √x + 1] X lim(- X→∞0

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Q: 1) Find the Limit lim/→0 3x²h-7th+h h

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Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

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Q: 3x lim x→0 x2 + 2x

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Q: -1- x +3, if x -2 Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) =…

A: Given : fx =-1-x + 3   if x<-23                        if x=-22x+8                if x>-2

Q: If x s f(x) s x² for x in [-1, 1] and x? x 1, at what points c do you automatically know lim, c…

A:

Q: Determine the limit by sketching an appropriate graph. 0 sx < 2 2 sx < 4 lim f(x), where f(x) = x-2-…

A: Given that f(x)=4-x2     0≤x&lt;22               2≤x&lt;44               x=4We have to find limx→2-…

Q: Find a & that works for & = 0.1 for the following limit. lim 6x + 7 = 13 x1

A: The limit is given by limx→16x+7 = 13 To evaluate: The value of a δ that works for ε=0.1

Q: Find lim x^2 − 3x + 2/x^3 − 2x^2 as (a) x → 0+ (b) x → 2+ (c) x → 2−

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find lim f(x) for the given piecewise function. x-4 2x +2 if x 4 If the limit does not exist, enter…

A:

Q: - x² if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

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Q: Consider lim e-. a) lim 4x - x² = 0 b) If we let t = 4x - , then we can rewrite the limit as lim of

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Q: Find the limit. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

Q: Find the limit. lim x→0 x – 1

A: Given that: limx→∞5x-1

Q: Recall that J x+ 4 |x +4| = ((x+4) X <-4. Therefore, we will need to check the limits when…

A: NOTE: Refresh your page if you can't see any equations. . as we know,

Q: Consider the following. x² – 2 if x * 0 if x = 0 f(x) = y -2 -1 Use the graph to find the limit…

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Q: 3x3 – x2 5x - - Evaluate lim Answer as a fraction in simplest x¬00 (2x – 1) · (x² – 4) - form or DNE…

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Q: Q3: A- Find the limit for the following functions: - tan2x 4х-3 Зx3-9х2 +х-3 1- lim x→0 sin4x 2- lim…

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

Q: Consider the following. x² -1 ifx # 0 if x = 0 f(x) y -2 2 -2 Use the graph to find the limit below…

A: given function is                                      given graph is…

Q: If x4 &lt;=ƒ(x)&lt;= x2 for x in [-1, 1] and x2&lt;=ƒ(x) &lt;= x4 for x &lt;-1 and x&gt; 1, at what…

A: Summarizing the given information:             . We need to find out that at what points c, we…

Q: Find limit of lim メ-T(x*1) X-1 X-1 O a, 0 Ob. 1 00 d. None of these

A: Given the function limx→1xx−1   (x≠1)∵x≠1

Q: Q2: Find the limit x + 3 lim x→-3 x2 + 4x + 3

A: We have to find limit

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

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Q: Find the limit       lim h approaches 0   [(5h + 4)^1/2   - 2] /h

A: We have to find the limit of the given function: limh→05h+412-2h Since it is 00 indeterminate form…

Q: Consider the following. x² - 2 if x # -1 if x = -1 f(x) = %3D y -2 -1 1 2 Use the graph to find the…

A: The given function is f(x)=x2-2    if x≠-1-3        if x=-1. Graphically: From the graph, it can be…

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: Find the limit L. Vx - 3 1 lim X 4 X- 4 L =

A: After the substitution of limits the function gives an indeterminate form 00.

Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

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Q: Let -8x2 + 5x 3x2 for x 0. f(æ) : According to the definition of the derivative, to compute f'(0),…

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Q: Let ƒ(x) = (3x - 1)/x. Make tables of values of ƒ at values of x that approach c = 0 from above and…

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Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

Q: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

Q: A For the limit lim (x-3x + 4) = 6 illustrate Definition 2 by finding values of d that correspond to…

A: For the limit: limx→2(x3-3x+4)=6, the function is f(x)=x3-3x+4. Now, consider ε=0.2, we have the…

Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

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Q: Find the limit. 4) lim (e5/x - 6x)\/2 x-0+

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Q: Let -2x² + 6x - 3 for x 0. According to the alternate form of the definition of the derivative, to…

A: We will use properties derivative.

Q: Ifx* sf(x) sx? for x in [-1,1] and x s f(x) x* for x 1, at what points c do you automatically know…

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Q: 1 Find the limit of lim x (1– e * ). X→ 00

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Q: 7 x? 4x + 10 if -1 2 if a < -1 | If f (x) = I-1 | - exists. Enter DNE if the limit does not exist.

A: Here we have to find      limx--&gt;-1 f(x) .

Q: nd the limit. e3x p-3x lim x→0e3X - e-3x

A: on solving this we get the

Q: Find the limit, if it exists

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Q: Find the limits limx→e+(ln x)1/(x-e)

A: Limit:      x→e+limln x(x-e)=h→0limln (e+h)(e+h-e)

Q: Find the limit. lim x → 2− e3/(2 − x)

A: To find the limit of the function

Q: Q1: Find the limit of the following х-2 2x2+1 tan nx 1) lim- 2) lim x-0 (2-x)(2+x) 3) lim x-2 x²-4

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

Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: Find the limit. lim (e 4/x+ 9x) x/2 x-0 0 1 00 e2

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Q: 3x – 1, if x 8 | Let f(x) = { 5 x+9 Show that f(x) has a jump discontinuity at x = 8 by calculating…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.