Calc
posted 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, pseries, 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
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