Verified answer

You rationalize the denominator by mult top and bottom of the fraction

by (conjugate of denominator) [√(3-x) +1].

After simplifying you find the numerator has a limit of 2, as the

denominator approaches zero. Therefore there is no limit.

BTW you use your grouping symbols astutely (you might mix parentheses

with alternatives), but too often questions (and answers) are terribly ambiguous

because of LACK OF GROUPING. Thanks!