A collection of limits

... If a > 0, evaluate: lim n→∞ a + √ a + 3 √ a + . . . + n √ a −n ln n 77. Evaluate: lim n→∞ n ln tan  π 4 + π n  78. Let k ∈ N and a 0 , a 1 , a 2 , . . . , a k ∈ R such that a 0 + a 1 + a 2 + ... a 2 a 1 = 0 and a 3 a 2 = b 3 ≥ 0, so assuming a n−1 ≥ a n−2 and a n ≥ a n−1 , we need to show that a n+1 ≥ a n . The recurrence equation gives us: a...

Ngày tải lên: 11/01/2014, 10:45

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Ngày tải lên: 18/02/2014, 14:20

... circumstances. A few days later, the brakes go out on Chris's car. An accident? Maybe. Except that it turns out that Chris, the IT manager at a large Chicago bank, may have misappropriated ... to wish him a Merry Christmas. Harry died two days after Christmas and was buried on New Year's Day. Ali said that Harry probably hung on to make sure she was taken care of, and Step...

Ngày tải lên: 19/02/2014, 11:20

... people ancient or modern. The consequences of these establishments we see and feel every day A native of America who cannot read and write, is as rare an appearance as a Jacobite, or a Roman Catholic, ... John Adams, Ambassador of the United States of America, had been with him last Saturday, and presented to him a letter from the Assembly of Congress, written at Philadelphi...

Ngày tải lên: 20/02/2014, 08:20

... Paolo, Parma) In the time of Correggio the convent of S. Paolo (St. Paul) in Parma was in charge of the abbess Giovanna da Piacenza, who had succeeded an aunt in this office in 1507. She was ... the chamber of the sick and lonely, so Diana was said to watch with the sick and help the unfortunate. The pale, white light of the moon is a natural symbol of purity, hence Diana...

Ngày tải lên: 06/03/2014, 13:20

... different. I wanted to be a Leader. I learnt a valuable lesson that day. I learnt that Leadership and management are completely different. Management is about having the responsibility for and control ... and demonstrated passionately by the leadership role played by Henry V. So think about what you can achieve as a leader and maybe you will be able to leave a legacy that will inspi...

Ngày tải lên: 11/03/2014, 14:20