21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

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Q: x6-4x3 If f (x) = 3-2x²+3' Solve to find lim f(x)?

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Q: 2x +3 e that lim x2 + 5x 2

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Q: V5x+9-3 -lim x+0

A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: 26. What is the value of lim A. - 2 B. - 1 1-cost t→0 t C.0 D. 1 - ?

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Q: 32. lim x + x - 2 x2 - 1 2,

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Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: Discuss the continuity of the function.

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Q: x² + 2x – 8 - (g) limx→2 -2 X- Vx² + 5 – (x + 1)

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Q: 4 Find lim х — 4 Væ – 2 x→4

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Q: Vx- 2 4. lim- x-2 x2 - 4 y-1 5. lim- Vy? +3 – 2

A: We can apply the limit to the expression by applying the limit as value for the variable in the…

Q: Prove the limit statements

A: Given: fx=4-2x,x<16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: Find the limit.

A:

Q: lim is x-0 X O A. 0 О в. 1 C. 8.

A: B. 1

Q: Vx+1- /2x x² - x 2х f ) lim x→1

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 1 2. lim,x

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Q: 2-y lim 7+ 6y² y-

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Q: b) lim sin(x² – 4) х* -16 2х - 3 а) lim %3D V3x² +16 x->2 X->-0

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Q: 12. If f(x) =x²-3x solve f(x)-f(2) lim x-2 x-2

A: Since the student posted multiple questions, I will give you the answer to the first question if you…

Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: Ifp(x)=x2-2x-3 and q(x)=x² - 1, then lim 3p(x) X +1 9(x)

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Q: De nty. lim Bx+5 6+X6-

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Q: x-2x x (水) 3t-4 t- lim 4-t

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Q: -x²y² lim (x,4)→(0,0) (x³ + y³) e¯ x² + y²

A: Consider the given expression. limx,y→0,0x2+y3x2+y2e−x2y2 Put in the expression y=mx.…

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: • lim In (tanx) -Lーえ • Lim V9x* + ax 2 4x-1

A:

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

A:

Q: 1. lim Vx2 - 4 x-2+ 2. lim x(5 – x) X-5 4x 3. lim x4+Vx-4

A: This is the problem related to limit. In all the subparts limits are given is right hand side limit.…

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: V2x(x-1) 3. lim-1 Jx-1|

A: Given limit, limx→12xx-1x-1

Q: x3 – 11x lim x→0 x V5x+11

A: Consider the limit limx→0x3−11xx5x+11

Q: x+1 If f(x) = Solve to find lim f(x)? %3D Vx2+5-x'

A: Here is complete computation for your limit

Q: 1. lim ux-121 X-3

A:

Q: -2x +x lim x->0 2x+x“ – 2x .3

A: We have to evaluate the limit                                            limx→0x3-2x2+x2x3+x2-2x

Q: x2-6x+9 lim x->3 is equal to: x-3

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Q: 2x (1) lim x→0 3– vx+ 9 -

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Q: 1. Prove using e-d definition. (d) lim (4x + 3) = 7 x→1 x2 – 9 = 6 - (e) lim x→3 x – 3

A: To prove the limit using epsilon-delta definition

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

Q: Find the limits

A: Given limits: limx→-2 x+2x2+5-3

Q: lim as x goes to 0 (sin(2x)+7x2 - 2x / x4 + 2x3 + x2)

A:

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.