The nth term of a sequence is represented by ((2n^5)+(25n^2)+(32n)-(15))/((6n^4)+(2n^3)-(11n^2)-2n+17)
What is the limit of the nth term as x becomes increasingly large?
Options: 0,1/3,3, or the limit doesn’t exist.
I think the limit doesn’t exist but i don’t know!! Please help if possible
2n^5 +25n^2 + 32n - 15
6n^4 + 2n^3 -11n^2-2n+ 17
You are correct.....the limit does not exist
If we divide every term by n^4 and then let n approach infinity.....we will be left with
2n + 0 + 0 + 0
________________ = (2/6)n = n / 3 = inf / 3 = the limit does not exist
6 + 0 + 0 + 0 + 0
This will alwas happen when we have a higher power polynomial / a lower power polynomial