(adsbygoogle = window.adsbygoogle || []).push({}); sequence question. Need help!!

i would like to know where could i find the proof that the sequence

a_n=(1+1/n)^n bounded (upper bounded) by 4.

or in general that this sequence is a convergent one??

i know the proof by expanding it using binominal formula(Newton formula), but i am looking for another proof, by using some other helping sequence, and than to tell that this sequence a_n=(1+1/n)^n is smaller than every term of the helpin sequence????

any help would be appreciated.

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# Sequence question. Need help

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