(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

calculate the limit as x tends to infinity of:

[tex]\sqrt[3]{x}[/tex] ((x+1)[tex]^{(2/3)}[/tex]-(x-1)[tex]^{(2/3)}[/tex])

2. Relevant equations

3. The attempt at a solution

using the identity: a-b=(a^2-b^2)/(a+b) ; and dividing top and bottom by x,

= lim [tex]\frac{x^{(1/3)}[(1+1/x)^{(4/3)}-(1-1/x)^{(4/3)}}{(1+1/x)^{(2/3)}+(1-1/x)^{(2/3)}}[/tex]

= infinity

is that right? it seems very wrong.

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# Homework Help: Limit as x tends to infinity

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