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

find the limit as x tends to 0:

lim x^2/(5th-root(1+5x)-(1+x))

2. Relevant equations

3. The attempt at a solution

Let y=5th-root(1+5x), so now the limit tends to 1 and the limit is now:

lim (y^5-1)^2/(25(y-1-y^5/5+1/5)

= lim (y^10-2y^5+1)/(25y-25-5y^2+5)

This is where i got stuck.

any help would be very much appreciated.

(Note, i dont want to use L'hospital's rule)

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# Homework Help: Find the limit as x tends to 0

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