Find the limit for:
$$\huge \lim_{x \rightarrow \infty} \frac{x + x^2}{1 − 3x^2} $$
It is not where the vertical asymptote is:
$$ \frac{1}{\sqrt{3}} $$
And it is not 1/3 or ∞

(a medal will be given to first & best with steps and answer)

Question

Find the limit for:
$$\huge \lim_{x \rightarrow \infty} \frac{x + x^2}{1 − 3x^2} $$
It is not where the vertical asymptote is:
$$ \frac{1}{\sqrt{3}} $$
And it is not 1/3 or ∞

(a medal will be given to first & best with steps and answer)

experimentx · Answer

should be -1/3

anonymous · Answer

O_O  How did you see that so fast?

After the first derivative this is what I have written
$$\frac{1+2x}{0+6x} = \frac{1}{3}$$

anonymous · Answer

Oh crap... Never mind I see it now... -6x  >_<

experimentx · Answer

divide all by x^2
take limit you will get
1/inf + 1
-----------
1/inf - 3

experimentx · Answer

whic is -1/3