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Let $s= 1/3 + 14i$. Prove that the real part of this limit converges to $\frac{1}{2}$: $$ \Re\lim_{n \rightarrow \infty} \left( \left[ 1- \left( \sum _{k=1}^n \frac{(-1)^{k-1} \binom{n-1}{...