When the sequence x = (1 + 1/n) is computed, it appears to be monotone increasing....

 

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When the sequence x = (1 + 1/n)" is computed, it appears to be monotone increasing. Prove that this is so. Hints: First, if In f(x) is increasing, then so is f(x). Second, if f'(x) > 0, then is increasing. Finally, In x is defined to be , tdt. When the sequence x = (1 + 1/n)" is computed, it appears to be monotone increasing. Prove that this is so. Hints: First, if In f(x) is increasing, then so is f(x). Second, if f'(x) > 0, then is increasing. Finally, In x is defined to be , tdt.