Question

Evaluate limit question

1
0
3
does not exist

Answer 1

@just_one_last_goodbye

Answer 2

\[\large\rm \lim_{x\to2^-}\frac{x}{\sqrt{x^2-4}}\]Ok so if you try direct substitution, you're getting this weird situation,\[\large\rm \lim_{x\to2^-}\frac{x}{\sqrt{x^2-4}}\quad=\quad \frac20\]The bottom is getting small small small,
so overal, the fraction is blowing up really huge.

Think of a really small number in the denominator,\[\large\rm \frac{2}{1/2000000}\]And then remember how fraction division works,\[\large\rm =2\frac{2000000}{1}=big~number\]

Answer 3

So, 1?