1. Integral test (explanation)

Hello,

Can someone point out why this is considered as divergent?

Thanks,

2. Re: Integral test (explanation)

Originally Posted by l flipboi l
Can someone point out why this is considered as divergent?
If the conditions of the Integral Test are satisfied (this is the case) then, the series is convergent iff the corresponding integral is convergent.

3. Re: Integral test (explanation)

is it because 1<t<infinity doesnt hold.

4. Re: Integral test (explanation)

Originally Posted by l flipboi l
is it because 1<t<infinity doesnt hold.
No, it is because the integral is not convergent.