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.