How not to end up with [infinity/infinity]?
$$\lim_{x \rightarrow -\infty} \frac{ x-4 }{ x }$$

Question

How not to end up with [infinity/infinity]?
$$\lim_{x \rightarrow -\infty} \frac{ x-4 }{ x }$$

anonymous · Answer

well......646463688987654357

luigi0210 · Answer

Do you know L'hopital?

anonymous · Answer

Is L'hopital dividing by the largest variable?

anonymous · Answer

or something along the lines?

luigi0210 · Answer

Or if you want, you can divide everything by x: $\Large \frac{x-4}{x}*\frac{1/x}{1/x}$

anonymous · Answer

like so? $$\frac{ x/x - 4/x }{ x/x } = \frac{ 1-4/x }{ 1 }$$

luigi0210 · Answer

No, L'hopital's rule is if you get a case like $\frac{\infty}{\infty}$ or something you are allowed to take the derivative and find the limit again

anonymous · Answer

and then the limit of 4/x is 0

luigi0210 · Answer

Right, so you just end up with 1 ~

anonymous · Answer

So the final answer would be 1?

anonymous · Answer

Ah nice.

luigi0210 · Answer

If you did L'hopital you would of gotten 1 too :P

luigi0210 · Answer

luigi0210 · Answer

Good luck!

anonymous · Answer

Will check it out, thanks for the help!