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edited Jan 6, 2018 at 13:24

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Are there good lower/upper bounds for $ \sum\limits_{i = 0}^k {\left( \begin{array}{l} n \\ i \\ \end{array} \right)x^i } $ where $0<x<1$, $k<<n$$k \ll n$?

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edited Jan 6, 2018 at 10:05

Martin Sleziak

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Lower/Upper bounds for $ \sum\limits_{i = 0i=0}^k {\left( \begin{array}{l} n \\ i \\ \end{array} \right)x^i }\binom ni x^i $

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asked Jan 6, 2018 at 9:18

user119319

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Lower/Upper bounds for $ \sum\limits_{i = 0}^k {\left( \begin{array}{l} n \\ i \\ \end{array} \right)x^i } $

Are there good lower/upper bounds for $ \sum\limits_{i = 0}^k {\left( \begin{array}{l} n \\ i \\ \end{array} \right)x^i } $ where $0<x<1$, $k<<n$?

co.combinatorics sequences-and-series

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Lower/Upper bounds for $ \sum\limits_{i = 0i=0}^k {\left( \begin{array}{l} n \\ i \\ \end{array} \right)x^i }\binom ni x^i $

Lower/Upper bounds for $ \sum\limits_{i = 0}^k {\left( \begin{array}{l} n \\ i \\ \end{array} \right)x^i } $