Question

lim (x-1)/ [(x+3)^1/2 -2]
x->1

Answer 1

\[{x-1} \over {\sqrt{x+3}-2}\]

Answer 2

rationalize the denominator

Answer 3

\[\lim (x-1)\times (\sqrt{x+3} +2)/x+3-4= \sqrt{x+3}+2=\]4