(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the lim of [itex]\frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}[/itex]when x approaches 2, without using L'hopital rule or the definition.

2. Relevant equations

3. The attempt at a solution

I try to multiply both the numerator and the denominator to get [itex]\frac{(\sqrt{6-x}-2)(\sqrt{3-x}-1)}{2-x}[/itex], but when I substitute x = 2, the term becomes undefined.

Any suggestion? Thanks.

I am thinking of de'rationalize' the rational surd fraction, but nothing works.

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# Find the limit

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