Understanding Limits & Sequences: Get Help Now!

[Firepanda]

http://img215.imageshack.us/img215/8624/limitscz6.jpg

That's the question and the answer.

I don't get why it converges to -1/2 and how you can tell just by looking. Maybe I'm not understanding well enough but I understand how to find the limit, just I thought the limit to infinity showed that 0 was what it converged to, not -1/2.

Any help? Thanks.

 

[Mystic998]

It converges to 0. The source you got -1/2 from is mistaken.

 

[rock.freak667]

According to what i see if the graph were drawn, as n-->+infinity, the curve approaches a horizontal asymptote which is the n-axis, meaning that it converges to zero. And the method they used is correct but how they got -1/2, I have no idea.