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## Homework Statement

lim x→∞ of ((x^3+2x-∏)^(1/3))-x

## Homework Equations

L'Hopital's Rule: If it is an indeterminate form, take the derivative of the top and bottom until you do not get an indeterminate form anymore.

## The Attempt at a Solution

lim x→∞ of ((x^3+2x-∏)^(1/3))-x

lim x→∞ (((x^3+2x-∏)^(1/3))-1)/(x^3)/(1/x)

lim x→∞ (1/3(1+2/x^2-∏/x^3)^(2/3))/(-1/x^2)

I do not know how to continue from here. I think I'm missing something in my 3rd step (multiplying by the derivative of the inside function?) Any help would be awesome!