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limx->4 (√x - 2) / (x - 4)
= limx->4 (√x - 2) / [(√x - 2) (√x + 2)]
= limx->4 1 / (√x + 2)
= 1 / (√4 + 2)
= 1 / (2 + 2)
= 1/4
2.
limx->1 (x³ - 1) / (x² - x)
= limx->1 [(x-1) (x² + x + 1)] / [x (x - 1)]
= [(x² + x + 1)] / x
= [1² + 1 + 1] / 1
= 3 / 1
= 3