Find Limit of Sequence: 6/7 or Divergent?

[iceman_ch]

Homework Statement

Find the limit of sequence if it converges; otherwise indicate divergence.

a_n=(5-9n+6n^4)/(7n^4+5n^3-3)

answers

a=6/7
b=-2
c=5/7
d=diverges

Homework Equations

none

The Attempt at a Solution

The limit of A_n is equal to 6/7 which is one of the answers but, I thought that if the limit doesn't equal zero then it is divergent? Any help would be great.

Thanks

 

[Mathgician]

You may be confusing sequences with series. You question involves sequences

 

[iceman_ch]

Well now I feel stupid. I can't believe I missed that. For some reason I thought it was saying series. Thanks for pointing that out.

 

[Mathgician]

yeah, the trickiest questions are the one where we don't dare to spot the obvious. I can't count how many times this happens to me with math problems.