Question

find the limit of sqrt. of (x^2+9) -5/ x+4 as x approaches -4

Answer 1

\[\lim_{x\to-4}\frac{\sqrt{x^2+9}-5}{x+4}~~?\]

Answer 2

yup

Answer 3

\[\lim_{x\to-4}\frac{\sqrt{x^2+9}-5}{x+4}\cdot\frac{\sqrt{x^2+9}+5}{\sqrt{x^2+9}+5}\]
\[\lim_{x\to-4}\frac{x^2+9-25}{(x+4)\left(\sqrt{x^2+9}+5\right)}\]
\[\lim_{x\to-4}\frac{x^2-16}{(x+4)\left(\sqrt{x^2+9}+5\right)}\]
\[\lim_{x\to-4}\frac{(x+4)(x-4) }{(x+4)\left(\sqrt{x^2+9}+5\right)}\]

Answer 4

you gotta be kidding me.... thats what i did and my roommate said i couldnt do it that way

Answer 5

Tell him/her you're better than him/her.

Answer 6

haha thanks

Answer 7

You're welcome!

Answer 8

You're welcome!