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Apr
20
comment Determining if a sequence converges
This may not be the propor place to post this but how could I ask one more question to make sure I am doing this right. After that I think I have it down pat.
Apr
20
comment Determining if a sequence converges
You say L'Hopital's Rule rule does not apply but in this example L'Hopital's Rule gets you the correct answer, convergent at $\frac{5}{8}$ is that just coincidence?
Apr
20
comment Determining if a sequence converges
So, are you safe to say as a general rule if the main terms are constants you use a limit to find the convergence point and if the limit goes to infinity then the answer is divergent.
Apr
20
comment Determining if a sequence converges
How do you know to multiply by $\frac{n}{n}$ and then are you saying that it converges at $\frac{5}{8}$?