I'm lost on what to do here. We're told to use the Integral test but i'm not sure how to start. It seems, just from me looking at it, that it'd cvg to 0.
#Determining if a series cvg or div
sleek glen
severe dagger
I'm lost on what to do here. We're told to use the Integral test but i'm not sur...
Do you... know how to do the integral test?
sleek glen
yep
I guess the questions comes down to doing the integral
now that I've sat here for a second
severe dagger
So... what's the integral, then?
sleek glen
I do not know
severe dagger
You just said you knew how to do the integral test.
severe dagger
...what is the integral that you don't know how to do?
sleek glen
n*tan(1/n)
severe dagger
That's not an integral.
severe dagger
...because... it's just an expression... is x + 1 an integral?
sleek glen
idk how to type the integral symbol
severe dagger
Just say int. It's what I do.
sleek glen
oh wait
don't pay attention to that
There's the integral I do not know how to do
severe dagger
Well, you have two problems.
sleek glen
ok
severe dagger
One, why is your top bound b?
sleek glen
I replaced the inf with b, at the end of the integral I plug in b
which ig does end up being inf, but it's how my teacher does it
severe dagger
...you plug in b...?
Look, just... write infinity. It's a standard notation.
Second problem. Technically the antiderivative of what's written would just be nx tan(1/n).
severe dagger
...okay, whatever.
severe dagger
Will you just address the second problem?
severe dagger
Or, more traditionally, replace n with x.