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In(x - 2) Let's compute the lim 2- 72 - 3 Let's see what happens if we take the limit of the numerator and denominator: lim (In(x - 2)) = 100 lim (r? - 3z) So we have a limit of indeterminant type 0 00 O none of the above so we will try to use L'H rule. In( 2-2) So instead of working with lim - 22 - 31 (In(x - 2))' we can take the limit of lim where 2*** (x 3x)' (In(2-2))' (z? - 3x)' = (In(x - 2))' By computing the limit we get that lim 2+ (x? - 3:) In(at - 2) Thus by L'H Rule we get that lim 2-33