## anonymous one year ago ??

1. anonymous

I got infinity but its looking for a number.

2. anonymous

Just to clarify, you're asking to evaluate$\lim_{x\rightarrow\infty}\frac{e^{8x}-8x-1}{x^2}$

3. anonymous

Yes

4. anonymous

You're definitely right then...this limit definitely goes to infinity. There are several ways to show this, but easiest way is L'Hopital's Rule.$\lim_{x\rightarrow\infty}\frac{e^{8x}-8x-1}{x^2}=\lim_{x\rightarrow\infty}\frac{8e^{8x}-8}{2x}=\lim_{x\rightarrow\infty}32e^{8x}=\infty$

5. anonymous

So theres no numerical answer you can get for that?

6. anonymous

Because it says a numerical answer is expected.

7. anonymous

Nope, this limit doesn't "converge" to any numerical answer. It just grows infinitely. That also makes sense because the function $$e^{8x}$$ in the numerator grows WAY faster than $$x^2$$ in the denominator, so the limit would never approach a finite number.

8. anonymous

Alright thank you so much!!

9. anonymous

No problem. :)