# Rational sequence/2x-1 divided by 3x-4/Effort number/Exercise

Determine for the sequence

and for

for which (minimal) the estimate

Determine for the sequence

- ${}x_{n}:={\frac {2n+1}{3n-4}}\,$

and for

- ${}\epsilon ={\frac {1}{10}},\,{\frac {1}{100}},\,{\frac {1}{1000}}\,,$

for which (minimal) ${}n$ the estimate

- ${}\vert {x_{n}-{\frac {2}{3}}}\vert \leq \epsilon \,$