2010005302 | math4u.vsb.cz

SubArea:

Limit of a sequence

Level:

Project ID:

2010005302

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

Consider the convergent sequence

(a_{n})_{n = 1}^{\infty} = {(\frac{6 n^{2} + 10 n - 300}{2 n^{2}})}_{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