Use the graph of ƒ to determine the value of lim,→4 f(x). 4 3- 2- 1- -3 -1 1 -14 -4 -2 2. 4 7 y=(x) -2- -3- -4- -5- -6- -7-

Q: The graph of the function f is shown below. If lim exists and f is not continuous at a, then a…

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Q: Use the graph to evaluate the limit. 1) 1) lim f(x) x--1 +++ -6 -5 3 45 6 x D) A) B) -1 C) - IN

A: Graph of the function is given, we have to find its limit at x=-1

Q: ebraically. f(7 + h) – f(7) lim where f(x) = -x² + x + 6 h-0 h E Keypa Keyboard Shortc

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Q: Given the graph of y = f(x), y y = f(x) 1 2 3 -1 -2 lim f(x) = 1 then x→2 OTrue

A: Check value of f(x) at x=2

Q: Find the indicated limit. a) V3x+5-V5 lim a) b) x*+2x3-15х2 lim х-з х3+2x2-9х-18 b)

A: As per our policy we have to do only single question.  A) 3/(2√5)  B) 12/5

Q: The lim for b > 0 is: x+b X-b Q1 2/5

A: To find limx→bx-bx-b Let us assume y=x-bx-b Take limit on both side x→b…

Q: Use the Squeeze Theorem to find limx→c f(x).

A: Given that 4-x2≤f(x)≤4+x2 To find the limit of the function using the Squeeze theorem when x→c=0.

Q: Use the graph to identify the values of c for which: lim f(x) does not exist 6- 2 -4 -2 4. -2 -6- 6.…

A: Consider the graph

Q: Identify the values of c for which lim f (x) exists. (x², = {8 - 2x, 2 < x < 4 (4, S(x) x 2 4

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Q: Consider the graph of y = f(x). 4- -8 -7 -6 -5 -4 -3 -2 -1O 2 3 5 -2 For infinite limits, use 00 = 0…

A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

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Q: Along the path z= e find 2. lim (2,4)→(1,0) y-4zy 3x-y-3

A: Here, we have to reduce this limit to a limit in a single variable by using the equation of curve.…

Q: а) If V5 - 2r s f(x)s V5 – x² for -1sxsl Find lim,o f (x) ?

A: Given that                                5-2x2≤f(x)≤5-x2  for  -1≤x≤1 we have to find…

Q: The value of the constant k such that .2 k x +7 lim exits is X - 1 X → 1 7 - 7 -8 -6

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Q: Given the graph of y = f(x), y y = f(x) 1 2 3 -1 -2 lim f(x) = 0 then x→1 OTrue O False

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Q: If the line 3x - 5y = 7 is tangent to the graph of f at the point where x 4 then lim В. A. D. 5 С. З

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Q: Given the graph of f(x), find lim f(x), I-2 if it exists. 10-8 -6 4-2 2. 4 6. -1 -2- -3- -4+

A: If L.H.L. ≠ R.H.L. at x = a then the limit doesn't exist at x=a.

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: x → -1- means, x is approaching -1 from the left.

Q: (x+h)³-x³ h C. lim- h-0

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Q: Use the definition f' (c) = lim,0 f(c+h)-f(c) to find the derivative. h f' (2) if ƒ (x) = 3 x+2 O…

A: Given that, f(x)=3x+2 We have to find f'(2)   As we know, f'(c)=limh→0f(c+h)-f(c)h   ......(1)

Q: Find the indicated Limit Lim, 0 (4h - 20h + 2h+1)

A: As it is not an indefinite or undefined limit so just put the limit and simplify.

Q: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

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Q: Find the limit: o-4t 6. lim t→0 4 – 13' 17 + t to

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Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

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Q: Given: x + 1, -2 < x < 0 x = 0 0 < x < 2 x = 2 2, f(x) = -x, 0, 2 < x < 4 х — 4, What is the lim…

A: Consider the given function. fx=x+1,          -2&lt;x&lt;02,                x=0-x,…

Q: Evaluate the limits. t2 – 4 lim 42 t3 – 8 | (a) (b) (9 + x)-1 – 9-1 lim 8x2 – 9x + 1 lim a00 3x2 +…

A: limt→2t2-4t3-8

Q: Use the e-d definition to show that lim /a = 2. a-b (Hint: Vā – V6 =

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Q: Use the graph of the given function f to determine lim fx) at the indicated value of a, if it…

A: topic - limits

Q: Suppose p and q are polynomial functions. If lim p(x)/q(x) = 9 and q(0) = 3, find p(0).…

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Q: Use the given graph to find lim f(x) limit. x- 2- O A. 2 O B. 00 O C. -0 14 O D. 0 2- -8 -4 i 4 8.…

A: Here we need to find the left hand limit of the given function f(x) at x=2.

Q: Find the value of Vx+3-/3 lim lim,-5* |x-5|(x²+5) (x-5) 1 O -20 2+/3 O 130 O none О 30 2 V3 O None 1…

A: 1) find the value of limx→0x+3-3x rationalize the numerator limx→0x+3-3x=limx→0x+3-3x×x+3+3x+3+3…

Q: Find the limits algebraically: (a) lim vx2 + 2x – 3 x-3

A: Find the limit of the given expression. Given function is continuous at x=3. So we can apply the…

Q: 18) Find lim f(x) %3D X 2 - A) – B) 2 00 C) 1 D) 4

A: Topic = Limits 18) B

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Find limx∞ h(x), if it exists, f(x) = 5x3 − 3…

A: Given: fx=5x3-3

Q: Let f(x) = Vx - 1 if x>4 and f(x) = x² – 4x + 1 if x < 4. Find: %3D lim f(x) x→4

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Q: Use a computer algebra system to graph the function. 7xy f(x, y) = x + y2 + 6 3e+31 2.5e+31 20+31 3…

A: We have to graph the function first

Q: Q.4: Prove or disprove, lim f(x) = 4 If f (x) = } x # 2 x = 2 x→2 2.

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Q: Determine the value for c so that lim f(x) exists. X-3 f(x) = +c, for x3 The value of c is.

A: Topic = Limits

Q: Let f(z)=z2 - 7z+10 the find lim(zk )f(z)=?

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Q: Use the graph to compute , lim f(x), x+3 -6 -4 -2 2 2.

A: Find the Limit of the function

Q: Given: fix) =x- 5 and g(x) = 2x a) lim f(x) = X--3

A: Given; f(x) is a polynomial. So f(x) is continuous at every point. Therefore limit at x = (-3) will…

Q: for g(x)=5 and h(x)=2x find lim

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Q: Find the Value of the limits lim (t-|t) t4* lim(t- |t) t-4

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Q: S- (-4, 6) O (-4, 4) (-7, 4) 2- (3, 2) (-4, 1) (7, -1) (0, -3) (0, -6) -8-

A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

Q: The value of the constant k such that x2-kx+7 lim exits is x-1 x+1 -7 7 -8 8 -6

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Q: The value of the constant k such that x²– kx+6 lim exits is X→1 х—1 б -6 -7 7 -8 8.

A: 1). From the given problem:   fx=2x+14   From the power law:   dxndx=nxn-1.   So,…

Q: lim(x,y)->(0,0)  (4x2y)/(x2+y2)1/2

A: Given: lim(x,y)→(0,0)4x2yx2+y2         (1) To compute: The limit.

Q: If 3x-35f(x) < x²-3X+6 for X z0, find. lim f(x)

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Q: Use the definition to show that x² - y² lim (x,y) →(0,0) x² - y² 0.

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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.