The denomination is a polynomial in x^4. So dividing by x^5 causes a division by zero that did not exist in the original equation.
You can solve this problem by applying L'hopital's rule 4 times.
Hi all ---
I'm trying to compute the limits of the following function. After using a computer to check my work, I know my solution is wrong. But the problem is --- I can't find my mistake! Can someone please point it out? Thanks!
The denomination is a polynomial in x^4. So dividing by x^5 causes a division by zero that did not exist in the original equation.
You can solve this problem by applying L'hopital's rule 4 times.
Hi Kiwi_Dave --- Thank you very much. I understand your first sentence.
But I don't think you can can apply L'hopital's rule. Here's why ---
If I'm right -- sorry if I'm not --- is NOT indeterminate. So I can??? do ---
This gives the right answers. But is it 100% right?
How did you conclude this? You can see in your original equation that the denominator will only be positive if x goes to positive infinity, if it goes to negative infinity it will be negative; and since the numerator is positive in either case the limit will be negative if x goes to negative infinity.