Null sequence/Q/2 divided by 3x+5/Effort number/Exercise

Determine for the sequence

${}x_{n}:={\frac {2}{3n+5}}\,$

and

${}\epsilon ={\frac {1}{10}},\,{\frac {1}{100}},\,{\frac {1}{1000}},\,{\frac {1}{10000}},\ldots \,,$

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

${}x_{n}\leq \epsilon \,$

holds.

Create a solution