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Evauate the limit by change of variable:

lim (x-->4) [(x^1/2)-2] / [(x^1/3)-8]

The answer in the back of the book is 1/12. It MAY be wrong though.

Here's my attempt:

let u= x^1/3

u^3= x

as x-->4 u^3--->4 u--->4^1/3

lim (u--->4^1/3) [(u^3/2)-2] / u-8

That's as far as I could get. Any help asap would be much much MUCH appreciated! cheers yall!