1. The problem statement, all variables and given/known data Why does lim( (1+(1/n))^n ) = e? 2. Relevant equations If a_n convergent to a, and b_n converges to b, then (a_n * b_n) converges to (a * b) 3. The attempt at a solution The lim(1 + (1/n)) = 1. If you multiply (1 + (1/n)) by itself n-times, you get the equation (1 + (1/n))^n, so according to the statement under Relevant equations above, shouldn't the answer be 1^n, or just 1? Obviously it is e, b/c when you plug (1 + (1/n))^n into your calculator for larger values of n, you get closer and closer to e.