- #1

Precursor

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- 0

[tex]lim_{x\rightarrow1}\frac{\sqrt[3]{x}-1}{x-1}[/tex]

My work:

[tex]lim_{x\rightarrow1}\frac{\sqrt[3]{x^{2}}-1}{(x-1)(\sqrt[3]{x}+1)}}[/tex]

I did the conjugate, but I'm still left with a radical in the numerator, and I can't seem to factor any further. Can someone help me out?