MQ45 --- Infinite series
2012-09-15 8:20 pm
MQ45 --- Infinite series Difficulty: 20% Evaluate 2 + ½(1 + ⅓(1 + ¼(1 + … ))).
回答 (1)
2012-09-15 11:33 pm
✔ 最佳答案
2 + ½(1 + ⅓(1 + ¼(1 + … ))) = 2 + ½ + ½(⅓(1 + ¼(1 + … )))= 2 + ½ + ½ ⅓ + ½ ⅓ ¼ (1 + ... )))= 2 + ½! + ⅓! + ¼! + ...= 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + ... = e
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