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Is $\displaystyle \lim_{n \rightarrow \infty} \frac{[1,2, \cdots, n]}{3^n} = 0$?

number-theory asked Jul 29 '17 at 4:18

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Express $1 + \frac {1}{2} \binom{n}{1} + \frac {1}{3} \binom{n}{2} + \dotsb + \frac{1}{n + 1}\binom{n}{n}$ in a simplifed form

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How can I calculate $(1+i)^{5404}$?

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