Question

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.

Answer 1

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

Answer 2

can you try writing it with the equation?

Answer 3

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

Answer 4

http://prntscr.com/80cyqz

Answer 5

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

Answer 6

x-6

Answer 7

yea

Answer 8

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

Answer 9

thanks