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Results tagged with binomial-coefficients
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user 62673
For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.
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Convergence of a sequence involving a truncated exponential
Let $n\in\mathbb{N}_{>0}$, $\gamma\in\mathbb{R}_{>0}$. Let $\{a_n\}_{n}$ and $\{b_n\}_{n}$ be two sequences defined as follows
$$
a_n := \sum_{k=0}^{n-1}{2k \choose k}\frac{1}{\gamma^{2k+1}} \left(1-e …
- 2,712