Question

find the limit as x approaches 1 for
(x^2 - x^(1/2)) / (1-x^(1/2))

Answer 1

\[(x ^{2}-\sqrt{x})/(1-\sqrt{x})\]

Answer 2

\[ x^2 = (\sqrt x)^4 \]
take sqrt x common, expand using a^3-b^3, do cancelling operation and put values to get limit

Answer 3

ahh okay that makes sense, thank you !!