Thread: Limit of Sequences

1. Limit of Sequences

Hello,

i have to determine whether the sequence converges or diverges. If it converges, i have to give the limit. This is the problem I am stuck on.

$\displaystyle \frac{3n+2}{5-2n}$

the answer i got was it converges on $\displaystyle -\frac{3}{2}$ but when i graph it, it doesn't seem to work. I got $\displaystyle -\frac{3}{2}$ by taking the ratio of the leading coefficients since the degree is equal. Did I make a mistake anywhere?

Any would would be greatly appreciated.

Thank You

2. Originally Posted by OnMyWayToBeAMathProffesor
Hello,

i have to determine whether the sequence converges or diverges. If it converges, i have to give the limit. This is the problem I am stuck on.

$\displaystyle \frac{3n+2}{5-2n}$

the answer i got was it converges on $\displaystyle -\frac{3}{2}$ but when i graph it, it doesn't seem to work. I got $\displaystyle -\frac{3}{2}$ by taking the ratio of the leading coefficients since the degree is equal. Did I make a mistake anywhere?

Any would would be greatly appreciated.

Thank You
you are correct. that's the limit

the graph looks fine to me. it vindicates that result