Question

lim x->inf of sqrt(x - 3) - sqrt(x)

How would you solve that limit ?

Answer 1

l'hopital's rule

Answer 2

also use the limit subtraction law and evaluate them seperately

Answer 3

Have you tried to rationalize ?

Answer 4

Try to make sense of
\[\frac{\left(\sqrt{x-3}-\sqrt{x}\right)
\left(\sqrt{x-3}+\sqrt{x}\right)}{\sqrt{x-3}+\sqrt{x}}=-\frac
{3}{\sqrt{x-3}+\sqrt{x}}\]
The rest will be obvious