Each of the sequences given below converges to zero Specify the smallest value of (n varepsilon ) so that ( left x n ight n varepsilon ) as a function of ( varepsilon ) a (x n n 2 ) b (x n n(n 1) 1 1 ) c (x n log (n 1) 1 ) d (x n 2 left(n 2 1ight) 1 ) ...

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Each of the sequences given below converges to zero. Specify the smallest value of (n_{varepsilon}) so that

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Each of the sequences given below converges to zero. Specify the smallest value of $n_{\varepsilon}$ so that $\left|x_{n}ight|<\varepsilon$ for every $n>n_{\varepsilon}$ as a function of $\varepsilon$.

a. $x_{n}=n^{-2}$

b. $x_{n}=n(n+1)^{-1}-1$

c. $x_{n}=[\log (n+1)]^{-1}$

d. $x_{n}=2\left(n^{2}+1ight)^{-1}$

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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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Each of the sequences given below converges to zero. Specify the smallest value of (n_{varepsilon}) so that

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Introduction To Statistical Limit Theory

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