a - b = (a^1/3 – b^1/3) ( a^2/3 + a^1/3.b^1/3 + b^2/3)

[rizkiauliaa]

a - b = (a^1/3 – b^1/3) ( a^2/3 + a^1/3.b^1/3 + b^2/3)

Please, help me. I'm confusing if it uses mclaurin series

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[Dr.Peterson]

Please, help me. I'm confusing if it uses mclaurin series

Is your title meant to suggest a method for finding the limit? You could try that, and it would help, but there would still be a lot of work to do.

Do you know L'Hopital's rule? That's what I'd try. If not, please tell us the context of the question: What techniques have you learned that this might be intended to exercise?

 

[topsquark]

I agree with "The Doctor." Using the hint in the title you could do it, but IMHO it would just make things worse unless there's a "trick" involved. A Maclaurin series for the numerator and the denominator may be best. I'd favor the L'Hopital theorem if you know it.

Graphing the function inside the limit first may also be a good idea.

-Dan