Question

LIMIT:

Answer 1

\[\lim_{x \rightarrow-4} [\sqrt{x^2+9} - 5] / x+4\]

Answer 2

With due respect Welcome to Open Study ............. Sir/Ma'am @viemer

Answer 3

\[\Large\rm \lim_{x\to -4}\frac{\sqrt{x^2+9}-5}{x+4}\color{royalblue}{\left(\frac{\sqrt{x^2+9}+5}{\sqrt{x^2+9}+5}\right)}\]What have you tried?
This is probably a good place to start.
Multiply the top and bottom by the `conjugate` of the top.

Answer 4

\[x-4 / \sqrt{x^2+9}+5\]

Answer 5

that's what I got... is it right? Does it end there?

Answer 6

Hmm that looks good so far.
Remember that (x+4) in the denominator was causing a problem?

Whenever you are able to get rid of a problem like that, try plugging your limit in.
See if it works at this point.

Answer 7

my final answer is -4/5

Answer 8

Yay good job \c:/

Answer 9

thanks ^^