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\[\lim_{x \rightarrow 1}\frac{\sqrt[5]{2x+1}-1}{\sqrt[4]{2x+1}-1}\]
Correct?

Is so the function is continuous at x=1 so just plug it right on in :)

if not is *

@myininaya : sry i wrote it wrong ,Limit Tends to 0 .

Ok and hey which way do you prefer to do this?
algebraically or l'hospital?

algebraically

So if x goes to 0 then what does u go to ?

Eyad we are almost there :)