- #1

cooljosh2k2

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## Homework Statement

Show that if n belongs to N, and:

An: = (1 + 1/n)^n

then An < An+1 for all natural n. (Hint, look at the ratios An+1/An, and use Bernoulli's inequality)

## The Attempt at a Solution

I think i have a vague idea of what to do here, like I am sure induction is involved in this proof. However, I am unsure how bernoullis inequality and the ratios help in the proof, and how they should be used. Can anyone help me please?

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