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## Homework Statement

lim

x->-1 x^1/3 + 1 / x + 1 = x^1/3 + 1 / x + 1 ((x^2/3 - x^1/3 + 1) / (x^2/3 - x^1/3 + 1))

= x + 1 / (x + 1)(x^2/3 - x^1/3 + 1)

cancel out and done

I don't understand how to know what reciprocal to multiply in cases like these to make it work.

Please help.