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If underset(x to 1)(lim) (x^(3) - 1)/(x ...

If `underset(x to 1)(lim) (x^(3) - 1)/(x - 1) = underset(x to k)(lim) (x^(4) - k^(4))/(x^(3) - k^(3))`, find the value of k.

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