how to find if this sequence converges or diverges. Please help I am having hard time to solve this.
(1+(1/n))^n
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As an aside, it is well known that one of the many definitions or properties of the number $e$ is that $e=\lim\limits_{n\to\infty}(1+\frac{1}{n})^n$ – JMoravitz May 03 '17 at 08:36
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Hint
Show that the sequence is increasing ($a_n < a_{n+1}$) and bounded above (e.g. $\forall n \in \mathbb{N} : a_n < 3$).
For the increasing part, this question gives multiply approaches:
I have to show $(1+\frac1n)^n$ is monotonically increasing sequence
See also:
How is $a_n=(1+1/n)^n$ monotonically increasing and bounded by $3$?
(I'll flag this as a duplicate to the question above).
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