/sci/ - Science & Math

Fuck, I'm so bad at this Tex.
So I was told to use the Limit Comparison Test for the original function of [math] \frac{dx}{\sqrt{x^{8}+6}} [/math] by comparing it to [math] \frac{1}{x^{4}} [/math] .
My equation then looked like this: the limit of [math] \frac{1}{\sqrt{x^{8}+6}} [/math] divided by [math] \frac{1}{x^{4}} [/math] as x approaches infinity.
I know that both the top and bottom need to converge, I thought that they would not converge but apparently both the top and bottom converge to 1? I know that if you plug x = infinity into the numerator and denominator, they'd be 1/infinity divided by 1/infinity which would make it infinity/infinity right?

pic attached if I fuck up Tex again.