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Verified answer
LimiT4][
lim [x-->~] (x² - 2x - 3)/(x - 3)
= lim [x-->~] (x + 1)(x - 3) / (x - 3)
= ~ + 1
= ~
5][
lim [x-->~] (-2x² + 5x - 3)/(x + 3)
= lim [x-->~] (-2x - 1)(x + 3) / (x + 3)
= -2(~) - 1
= -~