anonymous
  • anonymous
I need help with the steps involved to solve the following equation. lim x→−24 (square root(x^2 + 49) − 25)/x + 24 obviously when i plug it in its 0/0 but I'm unsure of the method to solve at this point. if there wasnt a square root i could try factoring and reducing, but with the root in there i don't know how to proceed. thanks!
Calculus1
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ParthKohli
  • ParthKohli
Do you know l'hopital's rule?
ParthKohli
  • ParthKohli
That should really be enough, in my opinion.
ParthKohli
  • ParthKohli
Or the definition of derivative.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ParthKohli
  • ParthKohli
Assume \(h =x + 24 \), then the limit is written as the following:\[\lim_{h\to 0} \left(\sqrt{x^2 + 49} - 25 \over h\right) \]
ParthKohli
  • ParthKohli
Hmm, the definition of derivative doesn't apply here. NVM
anonymous
  • anonymous
surprisingly enough, we havent covered derivatives yet. or that rule
ParthKohli
  • ParthKohli
Darn.
anonymous
  • anonymous
I haven't had math in years and I'm pretty lost in this class. what we have covered are the limit laws; sum, difference, constant multiple, product, quotient
shubhamsrg
  • shubhamsrg
You should rationalize the numerator. Must help.
ParthKohli
  • ParthKohli
Yay, rationalizing helped me. Shubham, Y U NO REPLY TWO SECONDS LATER?
shubhamsrg
  • shubhamsrg
I may delete my comment if you ask for it! ;)
ParthKohli
  • ParthKohli
No, you have your credit.
ParthKohli
  • ParthKohli
:-P
anonymous
  • anonymous
try \[\frac{\sqrt{x^2+49}-25}{x-24}\times \frac{\sqrt{x^2-49}+25}{\sqrt{x^2-49}+25}\]
ParthKohli
  • ParthKohli
Yes, that's what I did there. Conjugation for the win.
anonymous
  • anonymous
ok that was wrong!!
ParthKohli
  • ParthKohli
No it wasn't?
anonymous
  • anonymous
\[\frac{\sqrt{x^2+49}-25}{x+24}\times \frac{\sqrt{x^2+49}+25}{\sqrt{x^2+49}+25}\] is more like it
anonymous
  • anonymous
I tried that, which gets me \[\frac{ (x^2+49)-625 }{ (x+24) * (\sqrt{x^2+49} +25) }\] Or I think it does. And I'm not sure where to go from there.
shubhamsrg
  • shubhamsrg
-49+625 = -576 = -(24^2) Does it help ?
anonymous
  • anonymous
yes! I'm so bad at factoring, I dont ever seem to see stuff like that
shubhamsrg
  • shubhamsrg
Glad to have helped! ^_^

Looking for something else?

Not the answer you are looking for? Search for more explanations.