Asked by Mischa
Does 1/ln(x+1) converge or diverge?
I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, p-series, telescoping series, alternating series, and root tests) don't apply. What can I use?!
As x-> infinity, 1/ln (x+1) approaches zero. That means that it converges.
Is that the limit you had in mind?
As x-> -1, it converges to zero
As x-> 0, it diverges, since ln 1 = 0
ln (x+1) is undefined for x<-1
No, I wondered if the sum converged, not the sequence. Sorry
I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, p-series, telescoping series, alternating series, and root tests) don't apply. What can I use?!
As x-> infinity, 1/ln (x+1) approaches zero. That means that it converges.
Is that the limit you had in mind?
As x-> -1, it converges to zero
As x-> 0, it diverges, since ln 1 = 0
ln (x+1) is undefined for x<-1
No, I wondered if the sum converged, not the sequence. Sorry
Answers
There are no human answers yet.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.