Limits of Sequences

9000064003

Level: 
C
Consider the convergent sequence \[ (a_{n})_{n=1}^{\infty } = \left (\frac{4n^{2} + 3n - 250} {2n^{2}} \right )_{n=1}^{\infty } \] and its limit \(L\). Find the maximal difference between \(L\) and the subsequence \((a_{n})_{n=250}^{\infty }\). (In other words, find the maximal difference between \(L\) and the terms of the sequence starting at \(a_{250}\).)
\(0.004\)
\(0.04\)
\(0.504\)
\(0.54\)