Math Question

[umer007]

I need to simplify and solve. Could u plz gimme a step by step answer bcuz i get very confused in these type of cubed root questions.

 

lim ((x+27)^1/3) -3) / x

x->0

 

Its x+27 all under a cubed root subtract 3, all of this divided by x.

 

Thanks in advance

[LazerFazer]

Well, you could evaluate whats in the limit for successively smaller values of x, thereby determining the limit. That's the brute-force method.

 

There is another, more 'mathematical' method, which is basically multiplying the top and bottom by the conjugate of the top. So multiply the entire thing by

[math]

((x+27)^{1/3}+3)

[/math]

 

on the top and bottom. Then factor out any common factors, and substitute 0 for x and solve.

 

Cheers,

LF