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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!
 one year ago
 one year ago
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!
 one year ago
 one year ago

This Question is Open

ParthKohliBest ResponseYou've already chosen the best response.0
Do you know l'hopital's rule?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
That should really be enough, in my opinion.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Or the definition of derivative.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Assume \(h =x + 24 \), then the limit is written as the following:\[\lim_{h\to 0} \left(\sqrt{x^2 + 49}  25 \over h\right) \]
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Hmm, the definition of derivative doesn't apply here. NVM
 one year ago

cleverlikemeBest ResponseYou've already chosen the best response.0
surprisingly enough, we havent covered derivatives yet. or that rule
 one year ago

cleverlikemeBest ResponseYou've already chosen the best response.0
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
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.4
You should rationalize the numerator. Must help.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Yay, rationalizing helped me. Shubham, Y U NO REPLY TWO SECONDS LATER?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.4
I may delete my comment if you ask for it! ;)
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
No, you have your credit.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
try \[\frac{\sqrt{x^2+49}25}{x24}\times \frac{\sqrt{x^249}+25}{\sqrt{x^249}+25}\]
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Yes, that's what I did there. Conjugation for the win.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
ok that was wrong!!
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
\[\frac{\sqrt{x^2+49}25}{x+24}\times \frac{\sqrt{x^2+49}+25}{\sqrt{x^2+49}+25}\] is more like it
 one year ago

cleverlikemeBest ResponseYou've already chosen the best response.0
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.
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.4
49+625 = 576 = (24^2) Does it help ?
 one year ago

cleverlikemeBest ResponseYou've already chosen the best response.0
yes! I'm so bad at factoring, I dont ever seem to see stuff like that
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.4
Glad to have helped! ^_^
 one year ago
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