I'm trying to follow some notes in class.(adsbygoogle = window.adsbygoogle || []).push({});

so the original equation is:

u= [ (x^2 – 1)^1/2 + ln (x + (x^2 – 1)^1/2 )]

and we let x=z+1.

Then by simplifying and approximating, u=z*2*2^.5 + higher order terms

from my notes: (x^2 – 1)^1/2 = (2z)^.5*(1+z/2)^.5

ln(1+e) approximately = e

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# Help simplifying this equation

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