find limit?

0 ⤊

Coverges or diverges? If coverges find limit

(n with c is subscript)
cn= (n-1/n)-n/(n-1)

2007-02-22 07:24:13 · 2 answers · asked by Tipsy 1 in Science & Mathematics ➔ Mathematics

2 answers

converges to zero

2007-02-22 07:29:44 · answer #1 · answered by Shredded Cottage Cheese 6 · 0⤊ 0⤋

Rewrite as:

(n-1)(n-1) - nÂ²
-------------------
n(n-1)

nÂ² - 2n + 1 - nÂ²
--------------------
nÂ² - n

-2n + 1
----------
nÂ² - n

Converges to zero.

2007-02-22 15:29:42 · answer #2 · answered by Dave 6 · 0⤊ 0⤋