Let (left{x_{n}ight}_{n=1}^{infty}) and (left{y_{n}ight}_{n=1}^{infty}) be sequences of real numbers such that (x_{n} leq y_{n}) for all (n

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Let $\left\{x_{n}ight\}_{n=1}^{\infty}$ and $\left\{y_{n}ight\}_{n=1}^{\infty}$ be sequences of real numbers such that $x_{n} \leq y_{n}$ for all $n \in \mathbb{N}$. Prove that if the limit of the two sequences exist, then

\[\lim _{n ightarrow \infty} x_{n} \leq \lim _{n ightarrow \infty} y_{n}\]

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Introduction To Statistical Limit Theory

ISBN: 9780367383138

1st Edition

Authors: Alan M. Polansky

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Question Posted: Mar 15, 2024 02:01 AM

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Let (left{x_{n}ight}_{n=1}^{infty}) and (left{y_{n}ight}_{n=1}^{infty}) be sequences of real numbers such that (x_{n} leq y_{n}) for all (n

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Introduction To Statistical Limit Theory

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