6. Do the following. (a) Let {a,}1 be any sequence. State precisely what it means for the sequence {a,} to converge to the limit L. 5n Use limit properties to compute lim b,n. Show explicitly (b) Let b where the properties are used. n+3 (c) Use the definition of a convergent sequence to prove the result in part (b).

Q: (-14) + (–7)

A:

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: 8. 8. 3/ 2.

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 12 X-

A: The solution is given below

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: . 4- 5 4m+8

A:

Q: 619 d. 4 10

A:

Q: 9/12+3/24

A:

Q: (4 – a2)

A: To integrate.

Q: 5)235

A: Answer : 47

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: 10. 15gr, 20s

A: Given

Q: y27x+2

A: y >= 7x/4 +2

Q: 18(9+7)+3

A: 18(9+7)+3

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: Identify the postulate for each drawing

A: Identify the postulates for each drawing

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 24

A: Solution : find length of side

Q: 39. 2

A: according to given figure given function is decreasing in it's domain

Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: O 1.4 1.4

A: Given: 4:48

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.