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/sci/ - Science & Math


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4231766 No.4231766 [Reply] [Original]

Can this be solved algebraically? I'm not looking for a solution, just a simple yes or no.

>> No.4231770

there's no equation bro

>> No.4231793

Yes. Set x = 9 + u
(sqrt(x+16) - 4)/u = 4(sqrt(1+u/16) -1)/u =4(1 + u/32 - 1 + o(u))/u -> 1/8 as u ->0.

>> No.4231794
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4231794

Multiply it by a/a, where a is sqrt(x+7)+4.
the x-9 goes away.

>> No.4231812

http://upload.wikimedia.org/wikipedia/commons/a/a3/Guillaume_de_l'Hôpital.jpg

>> No.4231815

his rule works fine
http://en.wikipedia.org/wiki/L'Hôpital's_rule
1/8 indeed