Let (xn) be a bounded sequence, and for each n ∈ n let sn : = sup{xk : k ≥ n} and tn : = inf{xk : k ≥ n}. prove that (sn) and (tn) are monotone and convergent. also prove that if lim sn = lim tn, then (xn) is convergent. [one calls limsn the limit superior of (xn), lim sup xn, and lim tn the limit inferior of (xn), lim inf xn.]

a

explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

i would say b) is your answer

sorry if im wrong

step-by-step explanation: