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For questions that explicitly reference the binomial coefficients, Pascal's Triangle, and Binomial identities.
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Asymptotic upper bound for partial binomial-like sum
I want to upper bound the quantity $$\sum_{i\le \alpha n} \binom{n}{i}\lambda^i$$, where ${\lambda>1}$, $0<\alpha<1$. It is not the same as partial sum of binomial coefficients. An asymptotic upper bo …