# Find L=lim_(n rightarrow infty)(4n+1)/(2n+1). then determine epsilon_n = L-x_n and find lim_(nrightarrow infty) epsilon_n

Find $L=\underset{n\to \mathrm{\infty }}{lim}\frac{4n+1}{2n+1}$. then determine ${ϵ}_{n}=L-{x}_{n}$ and find $\underset{n\to \mathrm{\infty }}{lim}{ϵ}_{n}$.
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Kendrick Jacobs
find $=4/2⇒L=2$
then determine ${ϵ}_{n}=\frac{1}{2}-{x}_{n}$ and find
$=\underset{n\to \mathrm{\infty }}{lim}2-\underset{n\to \mathrm{\infty }}{lim}{x}_{n}=2-\underset{n\to \mathrm{\infty }}{lim}{x}_{n}$