## anonymous one year ago Find the limit of the function algebraically. limit as x approaches negative six of quantity x squared minus thirty six divided by quantity x plus six.

1. anonymous

I just need to know if I can use direct substitution right away or if there are any step I need to do before that

2. anonymous

can you try writing it with the equation?

3. anonymous

sorry its hard for me to visualize the problem purely with words

4. anonymous
5. anonymous

$\lim_{x \rightarrow -6}\frac{ x^2-36 }{ x+6 } = \frac{ (x-6)(x+6) }{ x+6 }$now try to continue from here

6. anonymous

x-6

7. anonymous

yea

8. Loser66

just small mistake $$\lim_{x \rightarrow -6}\frac{ x^2-36 }{ x+6 } =lim_{x\rightarrow -6}\frac{ (x-6)(x+6) }{ x+6 }=\color{red}{lim_{x\rightarrow -6}}x-6$$ Then replace x =-6 in It is small but very important because lim (something) = value, not = x -6

9. anonymous

thanks