Is this correct? Google says this converges.. but I get diverage?
#Confused on the integral test
grave harbor
lucid sentinelBOT
grave harbor
Ln(infinity) is infnity?
vague pumice
It's hard to read, but it looks like your mistake is here
the original has the form 1/n^2, and you end up with something of the form 1/n
When doing the limit test, you don't actually need to solve the limit. You can use inequalities as long as they go in the correct direction.
(n-1)/(n^3+1) < 1/n^2 for example
grave harbor
Dont you have to do partial fractions to find the integral kd n-1/n^3 +1
vague pumice
you don't actually care about the value of that integral
you only care whether it's finite or infinite
and you can get that from the right inequality
grave harbor
.solved