2010005302

Level: 
Project ID: 
2010005302
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
Consider the convergent sequence \[ (a_{n})_{n=1}^{\infty } = \left (\frac{6n^{2} + 10n - 300} {2n^{2}} \right )_{n=1}^{\infty } \] and its limit \(L\). Find the maximal difference between \(L\) and the subsequence \((a_{n})_{n=300}^{\infty }\). (In other words, find the maximal difference between \(L\) and the terms of the sequence starting at \(a_{300}\).)
\(0.015\)
\(0.018\)
\(0.036\)
\(3.015\)