(adsbygoogle = window.adsbygoogle || []).push({}); Find the limit of (sqrt(1+x) - 1)/(cuberoot(1+x)-1) as x-->0

1. The problem statement, all variables and given/known data

Fin limit of the follwing as x tends to 0:

[sqrt(1+x)-1]/[cuberoot(1+x)-1]

2. Relevant equations

3. The attempt at a solution

using change of variables:

let y=sqrt(1+x)

so = limit (as y tends to 1): [y-1]/cuberoot(y^2)-1]

Then i got stuck.

any help woyld be v much appreciated.

Thank you.

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# Homework Help: Find the limit of (sqrt(1+x) - 1)/(cuberoot(1+x)-1) as x->0

**Physics Forums | Science Articles, Homework Help, Discussion**