Lim (x-3)/(корень из(x+6)-3)

Question

Lim (x-3)/(корень из(x+6)-3)

Comments

да

Answer 1

(x-3)(√x+6 +3)/lim(x-3)(√x+6 +3)/(√x+6 -3)(√x+6 +3)=lim(x-3)(√x+6 +3)/(x-3)=
=lim(√x+6 +3)=√3+6 +3=√9+3=3+3=6