Answer:
I believe that the answer is C. In the decade following the Civil War, tall buildings had just begun to emerge; and, although the skylines of the world’s great cities were still dominated by church spires, there was increasing activity in the development of elevator apparatus adapted to the transportation of people as well as of merchandise.
Step-by-step explanation:
This is because, the whole text is about the elevator and its development throughout the years. This paragraph explains the development of the elevator, its possible purpose, and the time frame in which it took place. This sentence seems to sum up the text better than the other options.
Hope this helps! :)
Popular appeal - true because the majority believe it is true.
Answer:
the girl is enjoying the moon outside/the girl enjoys the fresh night air
Explanation:
It is clear that a(n)=2^(1-2^(-n)). In fact, for n=1 this produces 2^(1-1/2)=sqrt(2)=a1 and if it is true for a(n) then a(n+1) = sqrt (2 * 2^(1-2^(-n))) = sqrt(2^(2-2^(-n))) = 2^(1-2^(-(n+1))) (a) clearly 2^(1-2^(-n))<2<3 so the sequence is bounded by 3. Also a(n+1)/a(n) = 2^(1-2^(-n-1) - 1+2^(-n)) = 2^(1/2^n - 1/2^(n+1)) = 2^(1/2^(n+1)) >1 so the sequence is monotonically increasing. As it is monotonically increasing and has an upper bound it means it has a limin when n-> oo (b) 1-1/2^n -> 1 as n->oo so 2^(1-2^(-n)) -> 2 as n->oo
Chile anyways thx for the points
