made a mistake, that i fixed, it's supposed to be an < an+1 as opposed to the other way around.
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)
I think i have a vague idea of what to do here, like im sure induction is involved in this proof/ However, im unsure how bernoullis inequality and the ratios help in the proof. Can anyone help me please?