# Math Help - Simple limit problem

1. ## Simple limit problem

Hello, this basic limit problem puzzles me:

$
\lim_{x\rightarrow \ -2} \frac{x-1}{x+2}
$

My intuition says, that there isn't limit on this spot, because I couldn't modify(tried factorize or divide with x etc.) expression to shape, where the function is defined. Graphing the function didn't help either. But, maybe there is some way...? Any help is appreciated, thanks!

2. Originally Posted by Greg98
Hello, this basic limit problem puzzles me:

$
\lim_{x\rightarrow \ -2} \frac{x-1}{x+2}
$

My intuition says, that there isn't limit on this spot, because I couldn't modify(tried factorize or divide with x etc.) expression to shape, where the function is defined. Graphing the function didn't help either. But, maybe there is some way...? Any help is appreciated, thanks!
As x approaches -2 the denominator is getting closer to zero while the numerator is getting (slightly) more negative.

And we know what happens when we divide by an increasingly small denominator