## anonymous 4 years ago Another one: Which of the following integrals are divergent? There are 3 functions there and I believe that the last 2 both "converge", any ideas anyone?

1. anonymous

2. amistre64

$\int x^{-2}dx=-x^{-1}$ $(0)^{-1}+(-4)^{-1}$ $\lim_{x->0^-} \ \frac{1}{x}-\frac{1}{4}$ i dont think that converges does it ....

3. anonymous

Nope, but the last 2 do

4. amistre64
5. amistre64

since 3/2 is > 1 it diverges if memory serves

6. anonymous

Oh, I see, I messed up and put the sort on the top of the equation,

7. anonymous

sqrt*

8. amistre64

it happens :)

9. anonymous

Thanks man,