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 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
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!

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

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

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

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

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

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

cleverlikeme
 one year ago
Best ResponseYou've already chosen the best response.0I 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
 one year ago
Best ResponseYou've already chosen the best response.4You should rationalize the numerator. Must help.

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

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

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

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0try \[\frac{\sqrt{x^2+49}25}{x24}\times \frac{\sqrt{x^249}+25}{\sqrt{x^249}+25}\]

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

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0ok that was wrong!!

satellite73
 one year ago
Best 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

cleverlikeme
 one year ago
Best ResponseYou've already chosen the best response.0I 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
 one year ago
Best ResponseYou've already chosen the best response.449+625 = 576 = (24^2) Does it help ?

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

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